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The phrase "a level that makes it impossible" is correct and usable in written English.
You can use it when describing a situation or condition that creates an insurmountable barrier or difficulty.
Example: "The complexity of the project reached a level that makes it impossible to meet the deadline."
Alternatives: "a degree that renders it unfeasible" or "a point that prevents any possibility".
Exact(2)
"We cannot raise tuition to such a level that makes it impossible for parents to send children to our schools".
The payments are "calculated at a level that makes it impossible for us to do business," he says.
Similar(58)
The janitors are paid at a level that makes it almost impossible for them to live.
There's a lock mechanism that makes it impossible.
On some level that made it harder.
In the Westchester County suburb of Mamaroneck, a street-level office has reflective glass doors and windows that make it impossible to see inside.
Within a context of moderate traffic growth, there can be competition between infrastructures that make it impossible to attain the expected traffic and profitability levels.
Underlying factors were inflexible scheduling and staff allocations that made it impossible to deliver quality care.
Concentrations of cefotaxime above 100 ng/mL inhibited the growth of the MFP bacterial strain to a level that made the analysis phage plaque size impossible.
It also aims for an arbitrary — and dangerously low — spending target of 21 percent of the economy, a level that would make it impossible to meet coming challenges.
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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