Capable of being endorsed or approved of; able to be supported or recommended.
From 'endorse' (from Old French 'endosser,' originally meaning to write on the back) + '-able' (able to be). The word emerged as English developed adjective forms for common verbs.
Something 'endorsable' doesn't mean you have to agree with it—it just means someone could reasonably approve of it, which is why politicians often debate whether a policy is 'endorsable' before deciding.
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