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The phrase "apply these principles" is correct and usable in written English.
You can use it when instructing someone to implement or utilize specific principles in a given context or situation.
Example: "In order to achieve the desired results, it is essential to apply these principles consistently throughout the project."
Alternatives: "utilize these principles" or "implement these principles".
Exact(60)
Try to apply these principles with parents.
But you can't apply these principles one or two weeks before the exam period.
We have already started to apply these principles in our work with the new Tunisian government.
We apply these principles to a Nebraska law banning "partial birth abortion".
On race day, runners can apply these principles to their tactics.
It concluded, "We leave it to the federal courts to apply these principles".
We sketch the eSkel library, which represents a concrete attempt to apply these principles.
But for an organization that claims to be so ideologically pure, the club doesn't always apply these principles consistently.
I apply these principles to develop a package solution to some of the current hot-button issues in corporate governance.
Atul Gawande made an eloquent argument to apply these principles to patient safety in The Checklist Manifesto.
The other set indicates their performance to apply these principles quantitatively in designing the ecosystem pattern.
More suggestions(16)
apply these conditions
apply these criteria
apply these theories
apply these terms
apply these practices
apply these guidelines
apply these rationales
apply these characteristics
apply these principals
enforce these principles
apply these learnings
apply these insights
apply these behaviors
apply these inclinations
apply these modes
apply these rules
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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