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Message: <blockquote data-quote="caribiner23" data-source="post: 1642768" data-attributes="member: 9169">It's a feature of the way OS X  and iOS interact:  you get message history on all your iCloud-connected devices regardless of where you read it.The only way to disable it is to go to the Preferences menu on Messages on your Mac and disable the account where the messages are coming from.   Then, however, you won't get any text messages on your computer, and it sounds like you want them in both places.You can also delete conversations on each device, but as long as they are all connected via the same iCloud account, you're still going to get them everywhere when a new one comes across.</blockquote>