Be careful, Tinanam-- I think you mean ' messages '. Yes, you have the right understanding of the verbs. The conditional leaves open the possiblity that it was not the speaker's fault-- perhaps the messages never arrived -- or that s/he is unsure of his/her ability to locate messages.
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tinanam0102"How did I miss your messages?" ... "How could I have missed your messages?In the first case the speaker acknowledges that he missed the messages (but he does not know how it happened).
tinanam0102Could I know if "How did I possibly miss your messages" basically have the same interpretations as "How could I have missed your messages"?How did I possibly ... ? is not idiomatic, so it is not very likely that you will ever hear that. The idiomatic group is How could I possibly have ...?
tinanam0102Dear CalifJim,No problem.
Thank you so much for your help with this topic.
Regards,
Tinanam