Move domains between services

Are we no longer able to move domains between services, or is it just me?

In order to help build a better knowledge base out of the forum, here’s the answer (after digging into the Control Panel for a while):

The “move domain to another service” link on the Service page under “\Billing\Services” is gone mysteriously, but you are still able to do so by going into individual Domain Edit page from the “\Domains\Manage” or “\Domains\Web” tab.