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Discover LudwigThe phrase "distance of" is correct and usable in written English
You can use it when talking about the amount of separation between two things. For example, "The distance of two kilometers separated the two towns."
Exact(57)
From a distance of reading.
We're in swimming distance of Somalia.
From the distance of years...
Ambition was within shouting distance of achievement.
It's within walking distance of some restaurants.
It's within walking distance of several schools.
What was the distance of its journey from Earth? 42.
I'm within walking distance of a swimming pool".
This was a distance of about 450 miles.
(He means not within shouting distance of his own shop).
Similar(1)
Giambi did not mind the distance of his 16th homer.
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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