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I get 24 as a count also, since for every st you're increasing 1, so in effect doubling your original 12. The only way I can see getting 18 is if it's supposed to be K2, M1 around the round, or K1, P1, M1, or something similar.
Maknitter2 - when you're counting between each knit and got 21, I think you forgot to include the M1 between the knit st at each end of the needles. That would be 3 more and would give you 24.
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