You can view message replies under the Inbox tab on your control panel or by clicking the "Messages" tab in the app. You are able to have the replies forwarded to a phone by entering in a phone number under Settings->Message Replies Settings.
(Note that even if replies are forwarded to your phone, you will not be able to respond back to the contact through the text thread in which you receive the forwarded replies. You can go in to your Mobile Text Alerts control panel to reply back, or send the contact a personal text from your phone.)
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