Hi Christine
The featured links block allows the featured course tile to be hidden based on membership of an audience
Two of the dynamic audience rules includes historic course completion and also course completion date.so the tile could be displayed based on whether they have completed a course previously or completed the course before a specified date.
If the course is not offered anymore then the course could be hidden and if the user doesn't have the permission to view hidden courses they won't see the course in featured links.
regards