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The phrase "cannot occur" is correct and usable in written English.
It can be used to indicate that something is impossible or will not happen under certain circumstances. Example: "Due to the lack of resources, the project cannot occur as planned."
Exact(60)
It cannot occur.
Dias adds: "There's a traditional dogma where this cannot occur.
Ponding cannot occur until the surface soil layers become saturated.
There are certain prerequisites without which regeneration cannot occur.
Our reforms will assure that improper employee short-term trading cannot occur at Putnam.
However, there is growing belief and rationale to suggest that this cannot occur in nature.
Under a 1980 law, drilling cannot occur in the refuge without explicit Congressional approval.
"I can prove scientifically," he said in an interview, "that evolution has not and cannot occur".
Yet by their very definition, these cluster industries cannot occur everywhere.
"It is not compassionate but reckless to allow uncontrolled entry from places where proper vetting cannot occur," he said.
The spectre of forgery chills the receptiveness — the will to believe — without which the experience of art cannot occur.
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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