Hi Galen! The state "Complete" triggers a variety of things in Cloud. It's how the system knows that no further changes will happen to this specific project, and so it can't really by removed. That being said, you can utilize project stages to your benefit here. In the settings, you can add and rename stage titles as seen below. Since you can assign a color to it, you can set that color to be the same as Completed, which may help organization without impacting the system.

Furthermore, there are some upcoming changes to the kanban boards that I believe will clarify your different stages even better and make organization easier and more powerful. It's still in the design process, but I should have it completed by the end of this week and off to our development team.