Here's what rhymes with dui.
by my high why die lie thy y buy guy tie vi hi shy sigh bi bye chi dye fi hy nigh pi pie thai thigh vie dei ly psi quae rye ty wir awry hai lye mai muy nai wry cy fy kai lai luy mei sy tai thei wai phi dry try cry fly sky rely spy fry ply sly pry tri trie pri pupae sty deify stye lanai slier apply reply thereby deny nearby whereby hereby defy alibi unify belie decry terrify untie aquae bonsai retry spry amebae turfy barfly ripply banzais supply imply occupy nuclei alkali verify goodbye purify nullify pacify ratify beautify lullaby termini typify amoebae crucify descry edify mollify overlie ramify vilify ossify triply blowfly horrify petrify reunify stupefy scurfy shanghai beatify drachmai speechify overbuy yuppify justify satisfy stimuli clarify comply modify qualify specify classify testify butterfly certify glorify gratify notify underlie alveoli amplify fortify rectify samurai standby falsify codify dignify liquefy mortify resupply firefly preoccupy stultify ultrahigh vivify calcify cumuli liquify overfly scarify versify mummify prettify vitrify gentrify dandify identify multiply signify simplify diversify magnify solidify personify acidify demystify mystify stratify emulsify misapply reclassify revivify declassify hyperbolae refortify syllabify intensify quantify disqualify indemnify objectify oversupply detoxify dragonfly electrify dissatisfy solemnify exemplify oversimplify misidentify transmogrify