Fixed in example sentence
But there's no point in discussing plausibility when our plot hinges on such a patently unbelievable series of interconnected coincidences: i.e., first, that Charley would have his overbite corrected the very day his wife would have her nose fixed, second, that each spouse would keep their respective cosmetic surgeries secret from the other, and third, that when bumping into each other in public afterward, Charley and Vivien wouldn't recognize each other.