how to find messages
how to see my messages on phone
iPhone X, iOS 15
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Well, that all depends ...
"Messages" may mean SMS/MMS messages or iMessages. The two are handled very differently.
What is the difference between iMessage and SMS/MMS? - Apple Support
iMessages would just appear on your Mac if you set up the Mac's Messages app appropriately.
SMS/MMS would have to be treated like this:
Forward SMS/MMS text messages from your iPhone to your Mac or iPad - Apple Support