The most common way I see people do something like this is to use our Newsletter Archive which would allow you to display past emails on your website. Then you could easily add the link to a welcome email so customers could see those past newsletters. Also, every sent campaign that you create within Constant Contact has a share URL that is a permanent link to the email. You can always retrieve those from the past campaigns and then link them in an email as well! Please let us know if you have any other questions!
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