Suggest

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early 16th century: from Latin suggest- ‘suggested, prompted’, from the verb suggerere, from sub- ‘from below’ + gerere ‘bring’.

wiktionary

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Coined based on Latin suggestus, perfect passive participle of suggerō(“I carry or bring under, furnish, supply, excite, advise, suggest”), from sub(“under”) + gerō(“I bear, carry”).

etymonline

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suggest (v.)

1520s, "place before another's mind; put forward a proposition," from Latin suggestus, past participle of suggerere "bring up, bring under, lay beneath; furnish, afford, supply; prompt" (see suggestion). Meaning "to act so as to call up the idea of (something else)" is from 1709. Related: Suggested; suggesting.