The problem with just adding generic HTML calls like in the common support question is updating the social network and Joomla tokens properly. In addition, you'll also need to check whether the user visiting the page is a guest or logged into the site already. This is not as simple as you are thinking if you're not familiar with developing your own custom PHP modules, which is why Alex suggested on looking into other modules/plugins that are out there. If you do want to go down the route of doing it yourself, you will need to find a developer to do the following:
1. You will need to do PHP, so you'll need to create a custom PHP module and then load that module within your article content. Custom PHP modules are not standard with Joomla, so you'll have to find a module that can do this easily for you.
2. In your module, determine if the user is a guest and if so, display the logout link.
3. To create the logout link, here's the code that we use to build up the logout button in the {JFBCLogin} tag that Alex was referring to (located in /components/com_jfbconnect/libraries/widget/login.php around line 62):
$logoutUrl = base64_encode(JRoute::_($logoutUrl, false));
$logoutButtonId = $this->providerLoginInfo[$this->provider->name]->logoutButtonId;
$buttonHtml = '<input type="submit" name="Submit" id="' . $logoutButtonId . '" class="button btn btn-primary" value="'. JText::_('JLOGOUT') . "\" onclick=\"javascript:jfbc.login.logout('" . $logoutUrl . "')\" />";
4. You will have to modify the input tag to be a text link as desired (there should be tutorials/easily found on Google on how to do this).
If you aren't familiar with development, I would
highly suggest perusing the JED first to see what's out there.
-Melissa