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The phrase "affect the existence of" is correct and usable in written English.
It can be used when discussing how one factor or condition influences the presence or reality of another.
Example: "The new regulations may affect the existence of small businesses in the area."
Alternatives: "impact the presence of" or "influence the reality of".
Exact(16)
We first examine what factor(s) affect the existence of j-type households and under what condition(s) they exists.
But who can account for the odd ways in which people meet and affect the existence of others?
However, time-varying graph assumption does not affect the existence of steady state.
Moreover, the delay τ may affect the existence of periodic solutions.
Hence our result reveals that rotation does not affect the existence of solutions of rotating MHD fluids.
Many network parameters in [16] can affect the existence of the NWLB problem, including BPIT, NS, network density, node transmission range, and network area size.
Similar(44)
In general, we may think that the source time (q(x u^{gamma}) only affects the existence of the weak solutions.
To tackle large compactly described transition systems – the state space explosion – a wealth of techniques (e.g., partial-order reduction) have been developed that reduce the search space without affecting the existence of (optimal) solution paths.
The main aim of the paper is to show how the damping term − u m q 1 | ∇ u m p 1 | affects the equation, including how the damping term affects the existence of the solution and how the damping term affects the properties such as the extinction of the solution.
However, these changes are unlikely to have affected the existence of the interaction we report.
Funding bodies were identified as affecting the existence of mixed methods studies - both as a hindrance and as a facilitator.
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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