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Related to think out: think up, think out loud, thought out, Think out of the box
think something out
to think through something; to prepare a plan or scheme. This is an interesting problem. I'll have to take some time and think it out. We spent all morning thinking out our plan.
To develop some idea or plan fully: We thought out a new strategy after we lost the game. The author thought the plot out before starting to write the book.