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Yours, Etc.: Origins and Uses of 8 Sign-Offs

it stands to reason

It's reasonable or to be expected. For example, It stands to reason that if we leave late we'll arrive late. [ Early 1600s ]
The American Heritage® Idioms Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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