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The phrase "a constrained level of" is correct and usable in written English.
It can be used when discussing limitations or restrictions regarding a certain quantity or degree of something.
Example: "The project requires a constrained level of resources to ensure efficiency and effectiveness."
Alternatives: "a limited amount of" or "a restricted degree of".
Exact(1)
The approaches in [1, 26] propose a constrained level of data traversing through a multi-hop fashion with the ability to shorten the tour path of mobile collectors to a certain level.
Similar(59)
"Despite some very tough talk from the new Chancellor, the coalition Government was broadly welcomed," the firm said, noting that while consumer spending did weaken, "it did not collapse" because shoppers were supported by low interest rates and constrained levels of unemployment.
A Constrained Optimization of Customized Temporal Discounts.
Mainly this: that even good genre (not Larsson or Brown) is by definition a constrained form of writing.
A redundancy analysis is a constrained version of a principle component analysis that additionally allows for hypothesis testing.
Twitter management decided to give her "a constrained version of growth".
It would move all of us beyond a constrained idea of what prepares students for college success.
Each set corresponds to a constrained state of the protein at that energy.
It is a constrained version of ordinary least squares.
Specific trade preferences for a constrained subset of developing countries are not consistent with the GATT.
However, this improvement is confined to a constrained model of duplication histories.
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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