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The phrase "a problem of this approach" is correct and usable in written English.
It can be used when discussing the drawbacks or issues associated with a particular method or strategy.
Example: "While this method has its advantages, there is a problem of this approach that we need to address."
Alternatives: "an issue with this method" or "a drawback of this strategy."
Exact(3)
A problem of this approach is that technological risks usually affect a large number of people at once.
A problem of this approach is the inability to discriminate between sedentary time and standing time [ 15, 16].
A problem of this approach is that usually too few studies are available for the different combinations of these predictors.
Similar(57)
A potential problem of this approach originates from its emission mechanism.
A common problem of this approach is that the numerical method used in the optimisation process may fail to give a reasonable solution due to the complexity of likelihood function.
A major problem of this approach is that in general there is no prior information about an adequate number of clusters.
A major problem of this approach is the heterogeneous composition of the transplanted tissue, which consists of luminal epithelium, glandular epithelium and fibroblastic stroma.
A potential problem of this approach is, however, that the removal of such low-quality regions can generate short reads that are uninformative and cannot be unambiguously mapped to a reference genome.
However, the problem of this approach is that a disease can be described by more than one DO terms.
The main problem of this approach is the triangulation phase.
Another problem of this approach was in way of the estimation function generation.
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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