Difference between "in progress" and "in process"

Solution 1:

Describing a project as in process sounds pretty odd to me, but apparently the form does occur - although in progress is about 5 times more common, as this NGram clearly shows.

This chart specifically for in process of [changing, for example] strongly suggests the usage is falling out of favour.

Solution 2:

What I have to say:

The writing of my project is currently in progress.

or

My project is currently in the process of being written.

Solution 3:

To me being in process implies that a process is proceeding to a conclusion.

Being in progress implies that it is progressing or moving forward to a point or of completion.