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The phrase "the recognition of the problem" is correct and usable in written English
You can use it when you are referring to a situation where the issue has been identified and accepted by those affected. For example: "Once the recognition of the problem was accepted, the team worked together to find a solution."
Exact(6)
The government has identified a gender gap in sports uptake – the recognition of the problem is a vital step.
However, delaying the recognition of the problem will not cause it to disappear.
One that began to do so soon was the recognition of the problem of the irreducibility of disposition terms to observation terms (more on this presently).
"This shows the recognition of the problem as well as the enthusiasm and energy in addressing it," says Mr. Sahin.
It may be that the recognition of the problem of AQMS and consequent avoidance of or decrease in dosing of neuromuscular blockers, particularly when corticosteroids are given concurrently, in the ICU has reduced the incidence of AQMS [ 19].
Whilst recognising that the declaration on the elimination of violence against women adopted by the UN General Assembly in 1993 was an important milestone in the recognition of the problem of domestic violence against women, this report rightly stresses that, in the EU context, more can be done.
Similar(54)
The concept of qi may be culture specific, and the prospects of realizing universal Daoist order may seem remote, but the recognition of the fundamental problem of desire should still give us pause.
There are a number of reasons why a common EU approach to addressing healthy indoor environments would be desirable, among them, to increase the recognition of the importance of this health problem and to provide a policy framework for individual member states.
The AHP operation belongs to six essential steps [ 26] as shown in Figure 2. We define the concern objectives and consequence of the unstructured problem and the recognition of the specific characteristics.
There were even problems with the recognition of the names of the new countries.
The surge reflects the broader cultural recognition of the problem, spurred in part by several high-profile cases of cyberbullying that resulted in suicide.
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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