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The phrase "a long standing problem" is correct and usable in written English
It can be used to describe an issue that has persisted for a significant amount of time. Example: "The city has been grappling with a long standing problem of traffic congestion that affects daily commuters."
Exact(8)
The Russians have focused on drugs, Afghan heroin a long standing problem to them through the former Soviet Central Asian Republics.
Launching a large balloon in a limited launching field is a long standing problem in Japan.
Protein structure prediction (PSP) is a long standing problem in structural biology and bioinformatics.
Modeling and detecting parameter stability of econometric models is a long standing problem.
Finding the capacity of MIMO broadcast channels, a long standing problem in the information theory community, was recently solved.
Underground utility lines being struck by mechanized excavators during construction or maintenance operations is a long standing problem.
Similar(52)
A remarkable solution to a long-standing problem!
But at the same time these events have worsened a long-standing problem.
As with ballistic missiles, guidance has been a long-standing problem in cruise missile development.
A long-standing problem with free association is that people aren't very good at it.
Confusing myself with the models in the pictures is a long-standing problem.
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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