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The phrase "set out in" is correct and usable in written English.
You can use it to refer to something that has been arranged or detailed in a particular way, usually in a document or policy. For example: "The company's vacation policy is set out in the employee handbook."
Exact(60)
736, are set out in 68A Stat.
The table set out in subsec.
those set out in this Article.
They set out in different directions.
(a), are set out in the Appendix to this title.
The dollar amounts set out in the text of subsecs.
(a), is not set out in the Code.
The full text is set out in the margin.
1280, set out in the Appendix to Title 5. Pub.
(5), are set out in the Appendix to this title.
(1), is not set out in the Code.
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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