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The part of a sentence 'problem that requires' is correct and usable in written English.
You can use the phrase when you are talking about a situation that needs a solution. For example, "The math problem that requires a rigorous understanding of trigonometry was difficult to solve."
Exact(60)
Infectious disease is a systems problem that requires systems solutions.
It is a big problem that requires bigger action.
It's a national problem that requires national standards.
"But this suggests a major problem that requires some attention".
Unsustainability is a collective problem that requires collective solutions.
Electronic waste is a global problem that requires global action.
problem that requires some degree of centralization and constant attention.
For the moment, he is a problem that requires careful managing.
Rather, he argues, addiction is a behavioural problem that requires willpower and motivation to change.
But he added, "This is a problem that requires a long-term, sustainable solution".
Three-year-old Wilf has a growth problem that requires a 24/7 ventilator.
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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