Here's what rhymes with noninvasive.
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paces oasis effaces encases hazes fazes embraces graces interfaces slavish mazes erases abases dazes razes replaces blazes crayfish amazes atlases crazes debases misplaces showplaces displaces commonplaces appraises disgraces cutlases outplaces databases cretaceous carapaces marketplaces scapegraces reappraises native innovative dative imitative iterative nonnative creative plaintive denotative annotative associative integrative oxidative vegetative educative meditative radiative dissipative dissociative evaporative connotative cogitative emulative administrative cooperative legislative quantitative authoritative appreciative evaluative investigative deliberative manipulative copulative stimulative unappreciative qualitative collaborative interpretative regulative procreative nonadministrative accumulative rehabilitative