Dictionary
There exist
phrase
Synonym of there be
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"There exist" is a perfectly correct and usable phrase in written English.
It is mainly used to indicate the existence of something, and it is usually followed by a noun. For example: "There exist many solutions to this problem."
Exact(60)
You are there, exist there.
Does there exist a limit?
Since, there exist positive numbers such that.
So there exist,, and such that (43).
Assume there exist n experimentally derived observations.
There exist people with superpowers.
There exist distinct views.
There exist solutions,, which.
There exist with such that.
There exist many elementary means.
There exist, such that, where.
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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