I have seen a setting in the email application where you can control this. It seems to be an option on the Samsung phones. Is that what you have?
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Receiving unwanted email can be annoying. Lets get this fixed asap. When did the issue start? Does it happen with every text message? What text message application are you using?
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My phone started doing the same thing a couple of days ago after Samsung update and a company update. Now I get a copy of received text messages in my outlook inbox