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5 letter words:

logic8,

4 letter words:

clog7, glim7, glom7, coil6, limo6, loci6, milo6, moil6,

3 letter words:

mic7, moc7, cig6, cog6, mig6, mog6, col5, mil5, mol5, log4, oil3,

2 letter words:

mi4, mo4, om4, go3, li2, lo2, oi2,