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8 letter words:

logicize20,

5 letter words:

cloze16, cozie16, gloze15, logic8, ceili7, oleic7,

4 letter words:

zoic15, clog7, ceil6, coil6, cole6, lice6, loci6, loge5, ogle5,

3 letter words:

coz14, zig13, lez12, cig6, cog6, cel5, col5, ice5, ego4, gel4, gie4, leg4, log4, lei3, lie3, oil3, ole3,

2 letter words:

go3, el2, li2, lo2, oe2, oi2,