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'minimal involvement of' is a correct and usable phrase in written English.
You can use it when you wish to refer to involvement in something in a limited or minimum degree. For example, "The project required minimal involvement of staff, so the budget was kept to a minimum as well."
Exact(47)
Size 2 Minimal involvement of dentine just beyond treatment by remineralization alone.
Fig. 4 Follow-up endoscopy showed no significant gastric deformity, with minimal involvement of scar tissues on the pylorus (arrow).
Meanwhile, the traditional chief reproached the minister for his "authoritarian" and personal management of the issue and the minimal involvement of his ministry.
On a final note, plasma and salivary cortisol and testosterone responses to exercise did not differ between subgroups, implying a minimal involvement of sympathetic innervation in the acute exercise response.
On the other hand, the OCT of the left eye showed minimal involvement of the fovea (Fig. 7) in comparison with the right eye, which could explain the preservation of vision in the left eye.
Using 13 fixed cadaveric preparations, we sought to design a surgical approach that would cause minimal involvement of the surrounding structures and maximal exposure to the extreme high cervical area.
Similar(13)
These range from minimal involvement on the part of central government to a nationwide system for control rooms led by a single organisation.
Our findings also show that, since 2005, GPs have had minimal involvement in provision of the selective 24 month review.
However, these debates are mainly in political arenas, with minimal involvement from actual members of affected communities.
The phone calls are part of a wide-ranging personal marketing strategy by Ms. Cross that has involved only minimal involvement by her publisher, Ballantine Books.
The major risk for a planetary mission science archive is seen in the combination of minimal involvement by Mission Scientists and inadequate funding.
More suggestions(15)
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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