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The phrase "a general problem in" is correct and usable in written English.
It can be used when discussing a common issue or challenge within a specific field or context.
Example: "There is a general problem in the healthcare system regarding access to affordable medication."
Alternatives: "a common issue in" or "a widespread challenge in".
Exact(60)
He said this was a general problem in Whitehall.
Deputy Labour leader Harriet Harman denied that there was a general problem in the gilt market.
"There is a general problem in regional areas of food shortages.
Two-phase flow modeling is a general problem in science and engineering.
The heating of the corona has been considered a general problem in solar physics for many years.
The study is intended to shed light on a general problem in structural dynamics including mechanoacoustical systems coupled to electrohydraulic control systems, etc.
We test how the theory behaves in practice on a general problem in model selection: that of learning the best model granularity.
The new "PEG-pellet" PEGylation mode was successfully applied to control the pH fluctuation during the conjugation reaction, a general problem in traditional liquid-phase conjugation mode.
A general problem in health-care consists in allocating some scarce medical resource, such as operating rooms or medical staff, to medical specialties in order to keep the queue of patients as short as possible.
And Ecuadorian universities tend to be "very politicized and hierarchical, [which] is a general problem in underdeveloped countries".
In this paper, we focus on burn injuries, a general problem in LMICs [9] and in South Africa in particular [10].
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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