Inherited from Latin mūcēre.
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The oi is unusual, as Latin ū generally yields /y/ (hence one might have expected *muisir) but cf. foison, froment, oignon < Latin fūsiōnem, frūmentum, ūniōnem. The final -ir < Latin -ēre on the other hand is regular and results from the palatalization of the preceding -c- to *[d͡zʲ], as in gésir, loisir, plaisir < Latin iacēre, licēre, placēre.