The phrase "begin the process of" is correct and usable in written English. You can use it to refer to the beginning of a task or process. For example, "We need to begin the process of organizing the documents for the meeting.".
Yugoslavia must begin the process of consolidating democracy.
The Senate hearing should begin the process of reform.
The city will begin the process of firing him.
They are a lever to begin the process of change.
Only after this was brought to light did they begin the process of reassessing BPA.
"Today we begin the process of restoring confidence in our state's democratic institutions.
The organizations will then begin the process of preparing those schools for next fall's openings.
Thanks to Ludwig my first paper got accepted! The editor wrote me that my manuscript was well-written
Listya Utami K.
PhD Student in Biology, Bandung Institute of Technology, Indonesia