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The phrase "entails the involvement" is correct and usable in written English.
You might use it when you want to emphasize the importance of including something in a process, action, or activity. For example: "Planning this event entails the involvement of several department heads."
Exact(2)
The selection of adequate test and item content is elementary but difficult to objectify, so it generally entails the involvement of experts (Hartig et al. 2012).
"Child pornography entails the involvement of children, and we must confront it for that reason.
Similar(58)
This assumption is based on prior studies of auditory-visual synchrony [42], [43], [44], but temporal simultaneity judgments do not entail the involvement of the temporal processing system in which the analysis of the time that has elapsed is needed [13], [21].
This entails the following actions.
Neither of them entails the third.
This obviously entails the strong law.
This theorem entails the direct decomposition (4.21).
This problem entails the following assumptions: 1.
Coresidence entails the sharing of resources.
Then Theorem 1 entails the following corollary.
The more informative proposition entails, the less informative one, so tp should entail cp.
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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