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5 letter words:

gools6, logos6,

4 letter words:

gool5, goos5, logo5, logs5, slog5, loos4, solo4, sool4,

3 letter words:

goo4, gos4, log4, sog4, loo3, los3, oos3, sol3,

2 letter words:

go3, lo2, oo2, os2, so2,