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WordNet
reason out

v. decide by reasoning; draw or come to a conclusion; "We reasoned that it was cheaper to rent than to buy a house" [syn: reason, conclude]

Usage examples of "reason out".

Not once, but a thousand times, I had tried to reason out the nature of the tie which bound her to the sinister Doctor.

She wished she could form some plan of action, or reason out what to expect next.