Meaning

verb express or state indirectly

verb suggest as a logically necessary consequence; in logic

verb have as a logical consequence

originFrom Middle English implien, emplien, borrowed from Old French emplier, from Latin implicare (“to infold, involve”), from in (“in”) + plicare (“to fold”). Doublet of employ and implicate.

Etymology from Wiktionary, CC BY-SA 3.0