Can an Atheist and Catholic hold a relationship?

The two are completely in love and very compatible. They see each other everyday and have fun and otherwise a good and productive relationship. However, the Atheist is insistent on convincing her that God doesn't exist and her faith is wrong. She clings to old views and way of christian life. (Stays away from alcohol, no premarital sex, exc)

He holds to his logic, she to her faith. Can this relationship actually work?
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This is not a theist vs atheist debate. My question is can the two coexist together.
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Any and all drama will be removed. I don't care what your personal views are regarding religion or the lack of. Lets be mature and friendly, stick to the question.
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Once again this is not a debate of personal belief. I'll tolerate no stabs at either views. So watch what you write or it will be removed. Last warning.

To restate: Can two the people come together and make a relationship work?
Can an Atheist and Catholic hold a relationship?
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