Under those words should be links to either Facebook or LinkedIn allowing the user to login with those networks. That will allow them to login with those credentials later and ensure that they are logged in with them currently to take advantage of any LinkedIn or Facebook features on your site that require the user to be logged into them.
If you want to hide that text and feature, you can easily do so by editing the SCLogin module settings. In the Logout Parameters area is "Show Connect Account Button(s)". Set that to 'hide' and it will disappear.
I hope that helps, but if not, let us know.
Thanks,
Alex