Button to add and to reset search won't disappear once we deselect new values

How to reproduce:

1. Click on search
2. Select a search filter
3. Add a new value to filter
4. See the button "Save" on the search results header and the button "Reset" on the bottom of the search form
5. Remove the value added on step 3
6. Button "Save" and "Reset" are still visible

Since our search has the original values of the search filter selected, the button "Save" and "Reset" are not useful and may lead to confusion.