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The phrase "arise throughout" is correct and usable in written English.
It can be used to indicate that something occurs or emerges at various points or in multiple instances within a certain context or timeframe.
Example: "Issues may arise throughout the project, so it's important to remain flexible and adaptable."
Alternatives: "occur throughout" or "emerge throughout".
Exact(18)
We must not succumb either institutionally or individually to ethical hypersensitivity, but remain alert to ethical issues as they arise throughout the research process.
Students should be sure to ask at least each of the ten questions written in class, as well as any follow-up or related questions that may arise throughout the interview.
Systems of polynomial equations arise throughout mathematics, engineering, and the sciences.
However, errors which may arise throughout the determination of these temporal indices/ratio calculations (T-IRC) have not been quantified.
Duplication of the alimentary tract is a rare congenital malformation that can arise throughout the alimentary tract from the oral cavity to the anus [1].
"Not only do [my workouts] help me to relieve existing stress, they increase my ability to deal with problems that arise throughout the day," he says.
Similar(41)
Little dramas arose throughout "poem," and Olson carried these with ease.
Despite the nostalgia many now attach to colonial religion and to the Great Awakening, dissenting religious groups arose throughout the colonies because of deep dissatisfaction with compulsory religious establishments.
The deformation, expressed by strain, arises throughout the material as the particles (molecules, atoms, ions) of which the material is composed are slightly displaced from their normal position.
It aims to explore two themes: how cities have arisen throughout the sweep of human history, and what their impact has been.
Although he was outraged by Blodget's behavior, he saw it as symptomatic of the conflicts of interests that had arisen throughout the financial industry, not just at Merrill Lynch.
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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