Inactivating an end-dated assignment initiative within a community - possible negative effects?

Summary:

We have monthly courses that I add to a community catalog, with that course I create a monthly assignment. We have a start date, an end-date, and a due date for anyone assigned. I know that this end-dates the initiative assigning the current and new members but is there any harm in also inactivating the initiative that shows up in the learning initiative section on the admin side? When I do this, I see the assignments listed at the very bottom under "previous assignments."

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