Search fields to retain search text

The keyword search field retains its search text even after an edit or add record.

But the other object search fields do not, they reset each time a record is added or edited making it very annoying to add and edit with a given set of searched records.

How to get my other object search fields to retain the search text used?

(If I'm not explaining this well enough, please ask for me to clarify.)

Thank you!

Filters seem to be retained if you go to a screen from the table and then return - bur if you do something like add a subtable record from that screen it does not - could we have an option to retain previous filter (by user or session I would suggest)?