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Discover Ludwig"approximately the same" is a correct phrase and it can be used in written English
For example, "The measurements of the two objects were approximately the same."
Exact(60)
(But both wore approximately the same sneakers).
The gentleman bought a house, approximately the same market value, approximately the same square footage.
They were approximately the same size.
"Across the country contamination was on average approximately the same.
Younger voters favored Mr. Bush by approximately the same margin.
The ratios of the peak intensities were approximately the same.
All other stages were observed at approximately the same frequency.
Autumnal events would be approximately the same intervals earlier.
Each test commenced with approximately the same initial profile.
Each exhibits approximately the same dimensions for all the samples.
To Chinese conservationists, the phrase "wetland park" has approximately the same valence as "petting zoo".
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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