I sniff our cats too sometimes, because they smell nice. Not a lot, and only gently, because otherwise they don't like it. (It's not hard to feel intimidated when someone's sniffing you whose head is almost as big as your entire body.) You would notice if you'd get fur in your nose, and you could get it out by blowing your nose. This might happen now more often than otherwise, because it's spring and the cats are losing a lot of hair now.
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There is nothing that is uniquely and invariably human.