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The phrase "a new problem emerges" is correct and usable in written English.
You can use it when discussing the onset of a new issue or challenge in a particular context.
Example: "As we implemented the new software, a new problem emerges that we hadn't anticipated during the testing phase."
Alternatives: "a new issue arises" or "a new challenge appears."
Exact(1)
However, a new problem emerges simultaneously, for the purpose of reinforcing the scaffold truly, on how we disperse the reinforcing phase into matrix uniformly, thus acquiring a homogeneous structure and component scaffolds.
Similar(59)
Thus, a new problem emerged: surface water pollution.
But a new problem emerged for Rafalca shortly after the Olympic team trials.
In March 2015, a new problem emerged: Some TransCare employees did not get paid on time.
Once the not-inconsiderable lighting issues were resolved, however, a new problem emerged.
But in the hearing, a new problem emerged: rushing through a doorway recently, he brushed up against a female guard.
But then a new problem emerged, according to Ward Justicess began timing their retirements to coincide with presidential administrations more likely to appoint someone like them.
But a new problem emerged in its place.
In the last three years, the economic crisis that affected the U.S. and most of the world hit these newly built complexes, and a new problem emerged.
But these stories have also shown that new problems emerge as a consequence of this process, because our judgment is affected differently by however we choose to organize the actions in our minds and whichever direction we choose to orient our empathy when we reflect on this configuration.
Moreover, new problems emerged in Springer's core business: a crisis in Asia crippled profits.
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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