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I looked up the terms for my card and saw this:

What are the rules for checking out materials?

You must bring your library card to check out material from the library. You may check out up to 20 items if there are no long overdue items or unpaid fines or fees on your card.

The library reserves the right to limit the number of items that may be checked out on one subject or in one classification. Materials are checked out for 3 weeks; entertainment and youth videos may be checked out for 7 days. The loan period for InterLibrary Loans is at the discretion of the lending library.

Can I renew or extend the due date of something checked out on my library card?

You may extend the due date for materials checked out on your library record up to five times. At that renewal limit, materials must be returned to the libraryâ€™s shelves for a 24 hour period to provide other customers with the opportunity to view or to check them out.

Renewals are not possible if:

Items are on hold for another customer.
Your library card is blocked for address verification or fees that are $6.00 or greater.
An item is overdue on your account for 30 days or longer.
The system is down.

Your library says:You may check out up to 20 items if there are no long overdue items or unpaid fines,

See, how could he have "borrowed" 2000 books/DVD's, even with seven cards? Then again, I understand Denver is a liberal haven, which would explain it. (never condemn anyone for anything!)