How do I transfer messages from iPhone onto iPad?

Isaaciriarte2 Said:

"How do I transfer messages from iPhone onto iPad?"

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Keeping a Record of Messages:

Take a Screenshot of Screen Record Messages:

Being not an available option, take a few screenshots of your Messages threads. Another option would be to screen record as you scroll down through the list. Take a Screenshot or Screen Recording on iPhone - Apple Support

You cannot do that.

But you may use your iPad for future messages as follows.

How to forward SMS/MMS text messages from your iPhone to your iPad, iPod touch or Mac

ghr165 wrote:

If you are signed into iMessage on both devices with the same Apple ID the messages should appear on both devices.

That is incorrect for SMS or MMS messages. It is only correct for iMessages.

If you are signed into iMessage on both devices with the same Apple ID the messages should appear on both devices.