I agree, there should be some standard archiving methodology to get stuff to drop off of boards.
For now…
1. Add an Archived stage to your pipelines
2. Setup a tickets workflow
3. Enrollment Trigger
Pipeline is any of Tech Support
and
Ticket status is any of Done (Tech Support)
and
Close date is more than 1 day ago
THEN
Set a property value
Set ticket property Ticket status of the associated ticket to “Archived”
4. The you can filter your board/tables to exclude Archived