At this time the HTML of an inline form is not available. Instead inline signup forms can only be embeded on your website through the inline/universal code. If you would like to work with ClickFunnels specifically, our MarketPlace is a great place to check for any third-party programs that can connect it to Constant Contact. We have also seen users connect the two through an API key. You can generate an API key through our Webservices team at webservices(at)constantcontact(dot) or through this article.
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