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"roughly approximate" is a correct phrase that can be used in written English.
You can use it when you need to describe something that is not exact, but close enough to its estimated value or size. For example: "The estimated cost of the project was roughly approximate to the total amount spent."
Exact(44)
Neural nets are so named because they roughly approximate the structure of the human brain.
Subtract your age from 220 to roughly approximate your maximum heart rate during exercise.
Revenue models in airline planning optimisation only roughly approximate the passenger decision process.
Using that data, it is possible to roughly approximate ratios of the sort that the S.E.C. will soon require.
Ottoman Iraq was roughly approximate to the Arabian Iraq of the preceding era, though still without clearly defined borders.
Despite substantial progress, the models only roughly approximate the matrix of interactions by the ocean, atmosphere and ice that shapes conditions in northern latitudes.
Similar(16)
The sample was diverse in ethnicity, race and geography, roughly approximating the population of the United States.
"For 30 years, no one would have thought of this happening," he added, roughly approximating the length of Mr. Hussein's rule.
Emmy the Great's sound roughly approximates that of the British folk revival of the nineteen-sixties, though with more verses.
Using hurdles and cones as a boundary, he roughly approximates a curve in one end zone so that Sylve and his teammates can run 200-meter repeats.
Currently the base of the Serpukhovian is roughly approximated near the first appearance of the conodont (a primitive chordate with tooth-shaped fossil remains) Lochriea ziegleri.
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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