The state of the advanced search screen is not keep when clicking on search results and then going back to the advanced search.

For example:
1. Go to Advanced Search UI
2. Remove all search terms (by clicking the minus sign on the right)
3. Click Search
4. Click a result to navigate to it
5. Click the back button back to the Advanced Search UI
6. Notice that neither your query nor the results are preserved

Ideally, the view should preserve your most recent query and the results