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You can control how many courses show up on the home page with a control at the bottom of the "Course Overview" box. There are other controls for switch to the next page.
If you are an instructor, you can set a custom course image to show up on the course listing.
I can't see my course
If your course does not show up in the Moodle home page, check if you have filtered out or hidden the course. See "Filtering Course Listings" and "Starring and Hiding" above.
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