We should have apologized for being late. - Certainty about the past., We have milk. Mom must have bought yesterday. - Past impossibility., They needn't have bought any products. - Criticism of past actions., Who broke the coffee table? It might have been the dog. - Past possibility., She can't have studied very much since she failed the exam. - Lack of necessity,/obligation., I could have solved the conflict./I would have come to the meeting , but nobody told me about it. - Ability and willingness about past actions that didn't happen.,

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