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The phrase "a recognized problem in" is correct and usable in written English.
It can be used when discussing an issue that is widely acknowledged or accepted within a particular field or context.
Example: "Climate change is a recognized problem in environmental science that requires urgent attention."
Alternatives: "an acknowledged issue in" or "a known challenge in".
Exact(13)
Instability of the atlantoaxial spine is a recognized problem in children.
CO2 corrosion has been a recognized problem in oil and gas production and transportation facilities for many years [19].
On page 1512, next to Hebrews 1 3, the text contains an interesting marginal note, "Fool and knave, leave the old reading and do not change it!" – "ἀμαθέστατε καὶ κακέ, ἄφες τὸν παλαιόν, μὴ μεταποίει" which may suggest that unauthorised correcting was a recognized problem in scriptoriums.
Lead poisoning is not a recognized problem in this rural area that has no industrial establishments.
Attrition is a recognized problem in longitudinal studies [ 20].
This is a recognized problem in dealing with data derived from administrative records[ 27- 29].
Similar(47)
Child poverty is a fully recognized problem in the industrialized world.
In recent years, the rapid deteriorations of reinforced concrete structures have been a widely recognized problem in the world.
Small crack fatigue is a widely recognized problem in the fatigue of materials; however, there has been limited progress in developing methods to predict small crack fatigue behavior.
The correlation bias is a commonly recognized problem in gene set analysis.
Eutrophication has been cited as a major cause of increasing cyanobacterial harmful algal blooms [ 3] and is also a widely recognized problem in South Korea [ 4, 5].
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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