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The phrase "replace the problem" is correct and usable in written English
You can use it when discussing solutions or alternatives to an issue or challenge. Example: "Instead of trying to fix the issue, we should focus on how to replace the problem with a more effective solution."
Exact(1)
If a problem occurs, write it down on a separate sheet of paper and replace the problem with your solution.
Similar(57)
These materials represent a unique class of biomedical functional materials that potentially perform broad spectrum of biological activities in the absence of the original living tissue/organ, thereby replace the problems encountered with the defective tissue/organ and support smooth functioning of the organ and the living organism.
Apple said it had identified the problem and replaced the problem program by Saturday morning.
This mathematics of ignorance – essentially, an oxymoron – replaces the problem of anticipation with a problem of quantification.
Instead one replaces the problem with a cascaded model of modulator and system, with the modulator processing vacuum noise and feeding it into the system.
DFT formulation plays an important role in decomposition of polynomial matrices because it replaces the problem of polynomial SVD that involves many protracted steps with K conventional SVD that are pointwise in frequency.
For a boundary value problem, the numerical-analytic approach usually replaces the problem by a family of initial value problems for a suitably perturbed system containing a vector parameter which most often has the meaning of the initial value of the solution.
Questioned about replacing the problem of a crowded social feed with another feed, Alhermizi says his goal is to prove that the social content experience can be revamped by opening control for users to filter their experience and move branded content away from family and friends stories.
This replaces the problem at the upper end of the ramp by an even bigger problem in the middle of it: A lot of visitors are moving into the lower ramp area through the tunnel, while many others are waiting at the upper end to leave the event.
It replaces the problem with the same problem.
This solution replaces the problem of inferring another's mental state with inferring what state of mind one would be into produce the same sensory consequences: c.f., ideomotor theory (Pfister, Melcher, Kiesel, Dechent, & Gruber, 2014).
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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