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"tear out" is correct and usable in written English.
It is mainly used as a phrasal verb (verb + adverb or preposition) in the sense of remove forcibly, as in "He tore the page out of the book." It can also be used as a noun, as in "There was a tear out section in the magazine."
Dictionary
tear out
verb
To remove by tearing.
Exact(52)
"And we'll tear out those pine trees.
Corkscrews were used to tear out flesh.
They'll tear out the tin ceiling.
"And I don't have that much to tear out".
Packaged with bright papers to tear out and fold.
"They tear out the interior walls and install pews.
Similar(8)
Three typical block shear failure modes were observed at ultimate load, namely, whole block tear-out (WBT), tensile fracture (TF), and tensile fracture followed by whole block tear-out (TF WBT).
The liners with integrated spacers demonstrated higher lever-out moments and statistically significant increase in tear-out loads.
Check out our two handy tear-out posters.
There are 30 tear-out pages of Mohawk's Superfine soft white eggshell paper.
This is called "tear-out".
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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