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Hi this is Dr. Hill. Smudge is likely licking his rectum due to an irritant or an obstructed anal gland. Can you lift his tail and look at his anus? The anal glands sit at 3 and 6 o'clock around the anus and can sometimes become blocked and then infected. If they become infected they will abscess and rupture. Take a look and let me know what you see or send a picture.