I need to have these issues fall off once the support manager marks their status as "Closed" so they don't pile up on our team Kanban board. How can I set that up for them?
The easiest answer is to remove the GreenClosed status from the DONE column.
You may also consider using the Kanban Sub-Filter to filter issues out if they are closed for more than 30 days.
OR you can use the Release Feature.
See here:
https://confluence.atlassian.com/agile065/jira-agile-user-s-guide/releasing-a-version-kanban
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