Here's what rhymes with rxit.
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ship hid hip id sip hitch itch zip which did rich mid pitch rid slip switch tip bid grid grip kid lip ridge chip clip dip ditch lib lid niche rib slid whip witch bitch flip quid skip stitch crib rip bridge trip strip amid forbid drip equip twitch leadership ownership fellowship authorship enrich readership turbid scholarship membership partnership censorship workmanship battleship chairmanship editorship governorship stewardship relationship dictatorship sponsorship professorship citizenship apprenticeship championship partisanship companionship craftsmanship proprietorship statesmanship shift hint shipped cyst fist fished silt hilt hissed hitched schist sift sipped built exist fixed list gift picked wished assist guilt lift missed resist kissed mist slipped swift wrist dipped flint gilt kicked pitched switched tipped whipped wilt clipped gripped mint quilt rift ripped thrift tilt tint chipped clicked crypt dint flicked flipped gist grist licked lint pissed skipped sniffed stint stitched linked mixed consist equipped insist midst print strict drift persist script stripped pierced rebuilt twist affixed evinced pinched risked addict afflict desist minced pricked rinsed splint squint tricked tripped winced winked convinced dismissed amidst predict restrict depict enriched extinct inflict reprint blinked coexist enlist prefixed subsist adrift bewitched distinct imprint betwixt manuscript contradict indistinct