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The phrase "without studying" is correct in written English.
This phrase is used to indicate that something is done, or can be done, without any effort or preparation. For example, one might say "She passed her driving test without studying."
Exact(57)
"There's no way to do that without studying.
"My mom said, 'You will not go to Paris without studying the industry first,' " Banks said.
"Chinese don't think, they just try without studying the market too much.
It's pretty difficult to make a molecule more light-sensitive without studying its kinetics.
I was educating myself in how to be a director without studying it.
Neither woman can be understood without studying the state that hired her.
Reading Smith without studying economics, he said, was like reading Euclid without studying maths.Hayek wrote that liberalism was too confusing a term, since it had different meanings in Victoria's England and Roosevelt's America.
The cautious, data-driven economists at Germany's central bank would not have made that statement without studying the issue thoroughly.
He took the California test in February, 14 years after he graduated from law school, and passed without studying -- "by sheer luck," he says.
Olmert was also accused of making up his mind without studying the complexity of the situation or of the military, political and diplomatic options available.
A White House spokesman, Gordon Johndroe, said he could not comment on the general's remarks without studying the full context in which they were made.
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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