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"lasting existence" is correct and usable in written English.
It can be used to describe something that is stable or that exists for a long time. For example, "The sun has been a lasting existence in our solar system since its formation."
Exact(2)
If the conscious realities that comprise our personhood have no lasting existence, if life and mind are nothing more than unintended ephemera of the material cosmos, then, as the existential philosophers have recognized, our lives can have no lasting meaning or ultimate purpose.
The lasting existence of the species depends on its ability to renew its body via production of organisms.
Similar(58)
No matter how hard you beseech your god to grant you ever-lasting existence plucking harp-strings or making love with virgins or bowling Viv Richards on the last ball of the day at the Melbourne Cricket Ground, forever, when blood stops servicing your brain, then that's it.
Our last existence result is based on Krasnoselskii's fixed point theorem.
By using Leray-Schauder's nonlinear alternative (Lemma 2.5) we give in this subsection our last existence theorem.
Our last existence theorem is a version of [5], Theorem 3.4, for generalized β-γ-type contractive mappings in Menger PbM-spaces.
The good news in the survey was that some of the state's bigger papers, including The Hartford Courant and The Hartford Times, had insured lasting records of their existence by microfilming copies going back to the founding of each.
Our findings therefore support the existence of lasting programming of sex-specific genes implemented by presence or absence of androgen during the first trimester of embryogenesis.
Their charmed existence lasted until the Great Depression forced them to return to New York in 1934.
The Republic of Texas's paradisiacal existence lasted for ten full years, during which France was their closest ally.
This humiliating existence lasted for several centuries until the Eastern Roman empire became thoroughly Greek sometime after the sixth century of our common era.
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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