To think intently while on the can.
Hybridization of deduce (to reach a conclusion by reasoning) and deuce (to shit)
Lars: MaryAnne, get your cottage cheese thighs and those snot-nosed kids of yours into the god-damned truck; we're going to sack the Capitol.
MaryAnne: You musta done some serious thinking in the outhouse, you come up with the most retarded shit when you dedeuce.
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