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The phrase "cooperate without" is grammatically correct and can be used in written English.
It means to work together or collaborate without the presence or involvement of someone or something. Example: The team was able to successfully complete the project by learning how to cooperate without their usual leader.
Exact(37)
But we'll cooperate without any doubt".
I am unwilling to admit that we cannot cooperate without sacrifice of our principles.
In the first situation, all pooling members fully cooperate without having self-interest.
That they figure out a way to actually get along and cooperate without demonizing the other side.
Because of restrictions on foreign ownership, these joint ventures are the closest the airlines can cooperate without merging.
Mr. O'Brien said that Mr. Bloede could cooperate without any contact with the detectives who arrested him.
Similar(23)
When their recipients had cooperated previously, subjects cooperated without considering the information they received.
Analysts said the arrest might help the Sudanese authorities appear to be cooperating, without going after one of their own.
Charis Thompson shows how putting challenging bioethical issues on the table and cooperating without consensus to move ahead are producing good stem cell science in California and beyond.
This strongly shows that both participants cooperated without the use of visual rhythms.
Had the Government simply communicated with Gibson, Gibson would have cooperated without having to stop its production and send workers home.
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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