Convinces rhymes with:
minces, prince's, absences, acceptances, acquaintances, allegiances, alliance's, allowances, announces, annoyances, assurances, benevolences, biosciences, bounces, cadences, clearances, coincidences, conference's, confidences, consciences, continuances, contrivances, conveniences, countenances, counterbalances, defense's, denounces, differences, disallowances, disappearances, dispenses, divergences, eminences, enhances, expanses, experiences, finances, flashdances, florence's, flounces, france's, glances, hindrances, imbalances, incidences, inconveniences, independence's, inferences, influences, insurance's, insurances, issuances, lance's, lawrence's, licences, licenses, minces, mispronounces, nuances, nuisances, observances, occurrences, offenses, ordinances, ordnance's, outdistances, prances, preferences, presences, pretenses, prince's, pronounces, providence's, province's, rance's, reassurances, references, refinances, reliance's, remembrances, reminiscences, remittances, renaissance's, renounces, residences, responses, romances, science's, sciences', sconces, senses, silences, stances, telesciences, terence's, tolerances, tompkinses, utterances, variances
Convinces sounds like:
campanis, camping, champion's, championing, champions, chimpanzee, chimpanzees, chomping, combines, combing, combining, comeuppance, comfinance, companies, companies', companies's, companions, company's, confines, confining, connivance, conniving, convenes, convenience, conveniences, convening, conveyance, conveying, convince