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"shared consensus" is a correct and usable phrase in written English.
You can use it when referring to a general agreement among a group of people. For example, "We reached a shared consensus that the plan should be implemented as soon as possible."
Exact(29)
This is the shared consensus of the medical and scientific community, including the American College of Obstetricians and Gynecologists.
For any country to endure such a process, there must be a broadly shared consensus that drastic reforms, and a period of economic suffering, are unavoidable.
A widely shared consensus specifically linked social welfare to democratic citizenship, upholding greater equality as the glue that held nations together.
Drawing upon theories of the diffusion of global norms, this study addresses two issues: is there a shared consensus among experts about standards of electoral integrity?
That's because until there is a broadly shared consensus on how the breathtaking injustice of Hillsborough happened, we will not be able to make this the moment of change for our country that it needs to be.
Despite the summit slogan of "a future we want", how close the conference will get to a shared consensus on what that future is and how it will be secured, is unclear.
Similar(31)
Recent theoretical work in evolutionary biology suggests that shared, consensus-based decision-making is often the most efficient way for dealing with both information uncertainty and between-individual variation in preferences3.
So why are decision-making hierarchies common in animals and ubiquitous in humans10 when theoretical models (e.g., swarm intelligence, wisdom of crowds) favor shared, consensus-based decision-making procedures?
A shared, consensus-based public ledger is used to track the origin and the processes in the supply chain.
The interface of the shaft domain is made of 22 pseudo-repeats of 15-residues ("a" to "o") sharing consensus sequences.
CONSENSUS PROCESS: This statement was prepared on the basis of shared dialogue, consensus decision making, and a writing process involving all Task Force members.
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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