Hello,
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Cats can certainly catch colds which does cause sneezing. Allergies can cause these symptoms as well, however if the discharge or mucus that you are seeing is a yellowish/greenish color, you are possbily dealing more with an infection which needs to be treated with antibiotics prescribed by your vet. I would also be concerned that it has been going on for a week now.
If you are finding the mucus to be a clear color and suspect it to be allergies rather than a cold, this is an excellent web site with information to determine first, if this is truly allergies and remedies you can use.
Cat Fanciers: Medical Information for Cats Contact alllergies manifest themselves when the cat has prolonged contact with a substance that it just cannot tolerate. Cats have allergies to foods as ... www.fanciers.com/cat-faqs/medical-info.shtml
I hope this helps. If you need further information, please feel free to contact me.
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