Well, now, THIS is an interesting topic!
Actually, there was a lot of tooth decay before the invention of the sugar industry. Carbohydrates, particularly bread, are bad for your teeth. And in areas where there was a lot of sand (which got into the bread) ancient peoples had even more tooth problems.
Elves are immune to disease and so would not have to worry about tooth decay, though, of course, they might choose to brush for cosmetic reasons. No doubt having a full set of teeth contributed to the famed beauty of Luthien, Galadriel, and Arwen!
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