verb (used with object)
to set forth or state in detail: to expound theories.
to explain; interpret.
verb (used without object)
to make a detailed statement (often followed by on ).

1250–1300; Middle English expounen, expounden < Old French espondre < Latin expōnere to put out, set forth, explain, equivalent to ex- ex-1 + pōnere to put

expounder, noun
preexpound, verb (used with object)
unexpounded, adjective

2. See explain.
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
expound (ɪkˈspaʊnd)
vb (when intr, foll by on or about)
to explain or set forth (an argument, theory, etc) in detail: to expound on one's theories; he expounded his reasoning
[C13: from Old French espondre, from Latin expōnere to set forth, from pōnere to put]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Word Origin & History

c.1300, from O.Fr. expondre, from L. exponere "put forth, explain," from ex- "forth" + ponere "to put, place" (see position); with intrusive -d. Related: Expounded; expounding.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Here, the hound expounds, giving his predictions for the coming year of
Then he expounds what he believes is the right way: an imprecise mix of
  personal reflection and the sharing of experience.
He expounds enthusiastically upon footcandles and price-point-to-aperture
During his visits, he expounds upon the merits of becoming and remaining
  productive and viable citizens upon their release.
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