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Discover Ludwig"closed book" is correct and usable in written English.
You can use it to refer to something that is not open to investigation or discussion, or something that is not up for debate or change. For example: "The decision is a closed book - no one is allowed to question it."
Dictionary
closed book
noun
A person or thing that cannot be easily understood; someone or something incomprehensible or puzzling.
Exact(27)
The exam is closed book, closed computer, and closed calculator.
The midterm will be closed book, closed notes. 2 pages of cheat sheets allowed.
Midterms and finals are closed book and closed notes.
This exam is closed book and closed notes.
Exams are closed book and closed notes, and in class.
Midterms and finals are closed book and closed notes, and in class.
Similar(33)
MIT researchers and their colleagues are developing an imaging method that can read closed books.
Schools were closed, books were destroyed, and educators were targets of the genocide.
The Melian affair closes Book V, and the Sicilian Expedition opens Book VI — a pointed juxtaposition.
Using open-book tests next to closed-book tests improved students' performance on core knowledge questions.
Since open-book tests are used next to closed-book tests, the total body of knowledge is divided into core and backup knowledge.
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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