Remove advanced search link from top.search in Magento 2
it's the solution:
<referenceBlock name="advanced-search-link" remove="true"/>
every static links search it inside default.xml of any module our case is in : vendor/magento/module-catalog-search/view/frontend/layout/default.xml
The correct path to folder is
app/design/frontend/ThemeDirectory/YourTheme/default.xml
Open default.xml & Put this code anywhere after
<body>
<referenceBlock name="advanced-search-link" remove="true"/>
It will remove the advanced - search link from ALL THE PAGES.