## Etymology
A back-formation from valuation, ultimately from value, from Old French value, feminine past participle of valoir ('to be worth'), from Latin valēre ('to be strong, be worth').

## AI Etymology
Valuate is a back-formation from valuation, ultimately from value, from Old French value, feminine past participle of valoir ('to be worth'), from Latin valēre ('to be strong, be worth'). Its formation runs backward from an existing longer form, producing a shorter base that then carries the same family of senses. As a verb, it means "to estimate the worth or value of something; to appraise", so the modern sense keeps the older action or relation visible. Relevant historical forms include Old French valoir and Latin valēre. Derivative forms include valuation, valuator; related words include value, valuation, valuable, evaluate.

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