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"formal study of" is correct and usable in written English.
You can use it when referring to a subject or process that you have studied in a structured and formal way, usually in a school or academic setting. For example, "I am interested in pursuing a formal study of law."
Exact(60)
But he did not begin a formal study of music until he was 20.
Several years later, he began a formal study of architecture in Colombo and London.
"Eggistential Oops" is a formal study of eggs, one broken on a glass plate.
Briggs and Myers had not made any formal study of psychology, and some claim their test lacks statistical validity.
He has repeatedly asked New York City Transit to do a formal study of whether the triangle could be used.
Orantes is a kidney specialist who began a formal study of the problem in 2009.
His mentor, at home in Cambridge, was John Maynard Keynes, with whom he shared a goal of combining pure mathematics, philosophy, and the formal study of beauty.
In the 17th century, a formal study of the game was made and published by the French Royal Academy of Science.
In its first formal study of the EU financial sector, it said significant progress had been made but more needed to be done.
The formal study of fallacies was established by Aristotle and is one of the oldest branches of logic.
Though Dr. Marzluff's is the first formal study of human face recognition in wild birds, his preliminary findings confirm the suspicions of many other researchers who have observed similar abilities in crows, ravens, gulls and other species.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com