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"under these guidelines" is correct and commonly used in written English.
It is typically used when discussing rules, regulations, or principles that someone must follow or adhere to. Example: "All employees must submit their expense reports by Friday under these guidelines set by the accounting department."
Exact(23)
Nobody has been turned down under these guidelines.
"It remains to be seen how new and increased enforcement under these guidelines will play out," he said.
Under these guidelines, the passages may not show certain socially sensitive features of the world as it was or is.
Are there specific companies that you expect to come, that you know would be happy doing business under these guidelines?
"Under these guidelines, schools that achieve excellence or show real progress will be rewarded," the president said in his weekly radio address, "and local districts will be encouraged to commit to change in schools that are clearly letting their students down".
But even under these guidelines, would the findings about Woidislawsky have met the bar for return?
Similar(33)
Under these new guidelines, all F.B.I. investigations — criminal, national security and foreign intelligence — will fall under the same set of rules.
Harrington says that under the Obama administration, immigration cases involving efforts to obtain NIWs have been "brutal"; they should get easier under these new guidelines.
Under these new guidelines, Thomashow would not have been able to file her 2014 Title IX complaint, one of the key developments that led to Nassar's downfall.
Under these protocol guidelines, tDCS may be considered safe (Nitsche, Schauenburg, et al., 2003).
Under these assumptions, guidelines indicate that a minimum sample size of 130 subjects would be sufficient for the factor analysis [ 39].
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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