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The word "inexistent" is correct and usable in written English.
You can use it to describe a person, object, or idea that does not or cannot exist - for example, "The mythological creature is believed to be inexistent."
Dictionary
inexistent
adjective
Nonexistent.
Exact(5)
In French schools, vending machines are rare, snacking almost inexistent and the "menu du jour", concocted by the school chef, is usually placed in the most conspicuous place of the school for everyone to see.
I've often wondered if this isn't an indulgence on my part, and whether I should train myself to cope with more human interaction − but I fear Auden's characterisation of poetry ("The social act of the solitary man") applies still better to novelising, which requires its practitioner to listen very intently so as to hear the voices and thoughts of wholly inexistent beings.
I say "located," because I'd decided to dispense with my maps -- on this soon to be inexistent littoral, I wanted to feel, as much as possible, like a long-shore drifter: human clay being carried southwards by the current of my own obsession.
Each cognition has its appearing object, and a threefold typology of mind is established on the basis of three sorts of appearing objects: the particular, the hallucinated object (i.e., something that appears while being inexistent) and the concept (don spyi).
In his later treatise on the Conjunction of Intellect with Man, Avempace differentiates between intelligibles of real existing beings such as the horse, and intelligibles of inexistent beings, such as an one-legged man, and he further differentiates between intelligibles of real existing beings which one has seen, and intelligibles of existing being which one has not seen.
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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