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The phrase "within a narrow range" is correct and usable in written English.
You can use it to describe something that is contained within limited, predetermined boundaries. For example: "The temperature remained within a narrow range throughout the day."
Exact(60)
Mr. Jerusalem's tenor operates comfortably within a narrow range.
In the equity markets, stocks wavered within a narrow range.
These mechanisms maintain serum testosterone concentrations within a narrow range.
We are not able to predict our business within a narrow range for each quarter.
Recidivism remains about the same, and the crime rate has fluctuated within a narrow range.
The renminbi now trades within a narrow range against the dollar.
Shares stayed within a narrow range after opening lower on the latest reading on the economy.
It is pleasurable only within a narrow range of concentrations in the blood.
All food is the same, within a narrow range in which gourmets pretend to find exquisite distinctions.
Since then, as budget deficits in the United States grew, the share has fluctuated within a narrow range.
The theory would explain why grammars vary only within a narrow range, despite the tremendous number and diversity of languages.
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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