By default, you can view projects in Context mode. They won't become available until their tasks are completed, our logic being that you can't mark the project complete until you complete its tasks.
This was a pretty popular feature request, as a lot of folks wanted their projects to be, for lack of a better word, "actionable", and were confused by the fact that they couldn't view them in Context mode.
You can toggle this setting by going to the "Projects and Action Groups" section of the Preferences>Data menu. Hope this helps!