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The phrase "a problem to confront" is correct and usable in written English.
It can be used when discussing an issue or challenge that needs to be addressed or dealt with.
Example: "The team identified a problem to confront during the project review meeting."
Alternatives: "a challenge to face" or "an issue to tackle".
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Finally, in a modern comment on the original work of Popper [257], Banegas et al. [258] contribute the following statement: "What we actually do is to propose a hypothesis as a tentative solution to a problem, to confront the prediction deduced from the hypothesis with actual experience, and evaluate whether the hypothesis is rejected or not by the facts".
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The dismissals of Sergio Ramos in November and, this month, Raúl Albiol (La Liga) and Di María (Copa del Rey final) had all been rolled into Mourinho's conspiracy theories about Barcelona's political influence and now he has a fresh disciplinary problem to confront with his own reaction to Pepe's ejection.
The task of the pupil is not to repeat what the master said, but, on a given subject of problem, to confront his judgment with the master's one.
Plenty of skeptics say that this is all about image -- Mr. Fox's, not Mexico's -- and that all this diplomacy is too grandiose for a country with enormous domestic problems to confront.
Meanwhile, Minnie has a standard-issue range of other problems to confront, including relations with her former stepfather, Pascal Christopher Melonii), a wealthy man who pays for her school, imposes minor life lessons and social disciplines on her and Gretel, and harbors an enduring grudge toward Charlotte.
There are plenty of real problems to confront.
Racism is a problem to be owned, addressed and confronted by everyone.
The cases of the two women seems to touch on a thorny problem likely to confront other high-ranking woman without combat experience: whether they can command respect from male soldiers who have served in front-line combat units.
They have to write to us to gain admittance, and acknowledge they have a problem they wish to confront.
However, research of complex problems needs to confront multi-causality.
Parents, educators, law enforcement officials, clergy members and business leaders met today at a conference to confront the problem of under-age drinking in Westchester County.
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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