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The phrase "a range of profound problems" is correct and usable in written English.
You can use it when discussing various significant issues or challenges in a particular context, such as social, economic, or environmental matters.
Example: "The report highlights a range of profound problems that our society must address to ensure a sustainable future."
Alternatives: "a variety of serious issues" or "a spectrum of significant challenges."
Exact(1)
No one argues that the state's list of schools, 374 of which receive federal poverty money, includes many with a range of profound problems.
Similar(59)
Rosen presents a range of profound issues that judges may well confront in the coming years.
Lack of sleep can trigger a range of health problems.
"Diet can affect a range of psychiatric problems," he said.
Premature babies can have a range of health problems.
A solar border would alleviate a range of binational problems.
The other five have a range of problems.
The inventions offered solutions to a range of problems.
But confidence has been undermined by a range of problems.
Many presidential primary voters experienced a range of problems.
Discusses a range of topics and advanced problem-solving techniques.
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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