Archive and Purge rules: close the tickets first, then create a Purge rule to delete them. You can update the 'summary' to something like 'DELETE_ME' and then create a Purge rule to select only the tickets with this summary.
Since the deletion is done by the SDM system, you're not at risk of having any orphaned records behind. The purging operation will also remove Activity Logs, Activity Notifications, Attachments, etc. related to the deleted tickets.