Clear filters does not clear Advanced fields but updates Simple search dates

Create an Advanced search with a date range
Search for a subject
Press "Clear filters"
The Advanced search fields are not cleared.
The simple search date range is updated with the Advanced date range
Furthermore, the date range is not changed back to the default when changing lists

Reproduce the issue by creating an Advanced search with a date range, searching for a subject, pressing "Clear filters," and changing lists. Start by locating the Advanced and Simple search filter handling; done means Advanced fields are cleared, Simple search dates are not incorrectly updated, and list changes restore the default date range.

Written by the indexing model from the issue text.