If a blog hosted on wordpress.com, then no widget is allowed to be displayed inside the posts.

The only option to run a link party to wordpress.com sites is to add a button which, when readers click on it, takes them to an external page where the linkup is hosted. 

If a blog's installation is on a self-hosted wordpress.org platform, blogger or typepad, the widget will display the linkup inside the blog posts, if the code placed correctly.

To place the InLinkz code properly, simply remove the code you have already added to you blog and grab a fresh copy of the code, as shown below:

If possible, paste it to your blog while in HTML editing mode and do not switch to preview. Just commit your changes.