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"determine precisely" is correct and usable in written English.
You can use it when you are trying to emphasize the need for accuracy in making a decision or measuring something. For example: "We need to determine precisely how much money we have available in order to make the best investment choice."
Exact(60)
Their number was impossible to determine precisely.
He can determine precisely where they are cleaving the RNA.
Investigators have given up trying to determine precisely how each part of the debris flew.
The Speaker would become politicised if he had to determine precisely which bills were 'English'English
However, imprecision in carbon dating has made it difficult to determine precisely where the culture arose.
Williams's and Star's cooperation would be critical to helping prosecutors determine precisely how events unfolded.
It is impossible, of course, to determine precisely the number of former financial titans suffering from recession psychosis.
The man, whose name was Henry Worsley, consulted a G.P.S. device to determine precisely where he was.
We also determine precisely which asymmetric convex decompositions of T can be realized.
Unfortunately it is difficult to determine precisely how the latest breed of diesel cars compare with petrol ones, pollution-wise.
Because no one saw Mr. Bush faint, it is impossible to determine precisely how long he was unconscious.
More suggestions(15)
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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