Desktop Facebook Login Page -

From a user experience perspective, the desktop login prioritizes speed of recognition over exploration. The “Keep me logged in” checkbox is still present (though now labeled more neutrally as an option), but its effect is limited: Facebook’s aggressive session timeouts on unrecognized browsers mean users often re-enter credentials more frequently than on mobile.

If the login page isn't working or you're stuck in a redirect loop, users and support forums recommend these steps: Clear Browser Data desktop facebook login page