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In brief: Naproxen. In a patient with normal kidney and liver function, Naproxen would normally be completely out of the body within 5 - 7 days. In brief: Naproxen. In a patient with normal kidney and liver function, Naproxen would normally be completely out of the body within 5 - 7 days.  In brief: Naproxen.
Naproxen is the generic name of the brand name NSAID Naprosyn. Ibuprofen is the generic name for Motrin, another anti-inflammatory. Motrin's biggest negative is that it requires more pills to do the same thing as Naproxen does, and it's dosages only last 4 hours, compared to Naproxen's 12 hour effectiveness.