Motivation
Without advancedSearch, when you enter something into the normal title search box up in the right corner, you may be redirected to Special:Search, with your entered text in the big search box of Special:Search. With advancedSearch you ar redirected, but your text just disappears.

Task
When a user enters a word into the general title search box and is redirected to Special:Search, they will find their input in the general big search box of Special:Search.