If you receive messages on one device but not the other
If you have an iPhone and another iOS or iPadOS device, like an iPad, your iMessage settings might be set to receive and start messages from your Apple ID instead of your phone number. To check if your phone number is set to send and receive messages:
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In the Settings app, tap Messages.
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Tap Send & Receive.
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Choose the phone number or email address that you want to use with messages.

If you have issues with a group message
If you're in a group message and stop receiving messages, check to see if you left the conversation:
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In Messages, tap the group message that you can't receive messages from.
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If you see a message that says you left the conversation, then either you left the conversation or you were removed from the group message.
You can rejoin a group message only if someone in the group adds you. Learn how to add or remove people from group messages.
To start a new group message:
- Open Messages and tap the Compose button
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- Enter the phone numbers or email addresses of your contacts.
- Type your message, then tap the Send button
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If you have other issues with a group message, you might need to delete the conversation and start a new one. In iOS 16, iPadOS 16.1, and later, you can recover a message if you deleted it within the last 30 to 40 days.
If you can't send or receive photos and videos in messages
Make sure that your device has enough space to receive images and videos.
If you use SMS or MMS messaging to send photos or videos, your carrier may set size limits for attachments. Larger files may take more time to send, and your iPhone can compress photo and video attachments when necessary. If you experience an issue when you try to send full size images, you can manually send lower quality images:
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In the Settings app, tap Messages.
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Tap Low Quality Image Mode.
Other steps to try
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Restart your iPhone or iPad.
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Check your network connection. To send a message as iMessage or MMS, you need a cellular data or Wi-Fi connection. To send an SMS message, you need cellular network connection. If you turn on Wi-Fi Calling, you can send SMS messages over Wi-Fi.
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Check with your carrier to see if the type of message you’re trying to send, like MMS or SMS, is supported.
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If you’re trying to send group MMS messages on an iPhone, go to Settings > Messages and turn on MMS Messaging. If you don't see an option to turn on MMS Messaging or Group Messaging on your iPhone, then your carrier might not support this feature.
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Make sure that you entered the correct phone number or email address for the contact.
Contact Apple Support if you still can't send or receive messages
Contact your carrier if you still can't send or receive SMS messages
Deactivate iMessage if you switched to a non-Apple phone and have issues with messaging
Source: https://support.apple.com/en-us/118433