The DRM is the thing that sets the expiration date of the e-book. Without DRM, the e-book will not expire at all, so will not be removed from your Kindle. (Which is why I'm honestly surprised publishers don't make more of a fuss about granting e-book access to libraries, given how easy it is to crack and keep library e-books without paying for them.)
I agree with JSWolf that it would be best to find some other solution for reading library e-books, such as an e-reader that supports EPUB with DRM, or a phone or tablet running an application. Perhaps your local librarian can recommend a suitable device for you. As it stands, you're not going to be able to read those e-books on your Kindle without breaking the law.
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