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The phrase "collectively determine" is correct and usable in written English
It can be used when referring to a group of people making a decision or reaching a conclusion together.
Example: "The committee will collectively determine the best course of action for the project."
Alternatives: "jointly decide" or "come to a consensus"
Exact(34)
Whereas the role of sperm competition favoring increased sperm numbers (i.e., quantity) or changes in the sperm cell phenotype are well documented, less is known regarding the impact on other traits that collectively determine ejaculate quality and that are important determinants of fertilization success.
The phones would then collectively determine the jammer's location and report it.
These scientists collectively determine the focus of the network and propose the direction of national stem cell research efforts.
In general, the BD and EMY values collectively determine whether a single substrate is suitable for AD to a certain extent.
But size is also cut down by the reactions of millions of individual consumers and savers who collectively determine whether markets remain buoyant or deflate.
An index of habitat suitability based on the ecological factors that collectively determine the suitability of an organism's habitat is important for conservation planning.
Similar(26)
We are collectively determined to avoid an SDP-style split.
Faculty salaries were collectively determined, too, and based on the respective household expenses of each staff member.
The collectively determined agreement may cover not only wages but hiring practices, layoffs, promotions, job functions, working conditions and hours, worker discipline and termination, and benefit programs.
(Chinen) RUDDER (Tuesday) The general direction of this funk-fusion vessel is collectively determined by its crew: Chris Cheek on saxophones, Henry Hey on Fender Rhodes piano, Tim Lefebvre on bass and Keith Carlock on drums.
But once Washington is allowed to descend a step or two from his acknowledged heights, it is possible to view him as the foremost member of a remarkable fraternity that collectively determined the nation's early course.
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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