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The phrase "achieve a common support" is correct and usable in written English.
It can be used in contexts where individuals or groups are working together to establish a shared foundation or agreement.
Example: "In order to move forward with the project, we need to achieve a common support among all stakeholders."
Alternatives: "establish a mutual agreement" or "create a shared foundation."
Exact(1)
Consequently, we trim the data in our analyses in order to achieve a common support and to avoid issues with instability due to very small estimated propensity scores.
Similar(58)
Players speaking different languages that come from different backgrounds support each other to achieve a common goal.
But it is an opportunity for the C.P.A. to win more support among the population and for the Iraqis themselves to achieve a common sense of purpose.
Collaborating to achieve a common goal requires facing dissent.
Doing so will require a concerted effort to achieve a common standard.
Fortunately, you don't need extraterrestrials or zombies to achieve a common ingroup identity.
Sustainability provides the unique opportunity to extend beyond company boundaries to achieve a common sustainability goals.
A good choreographer motivates all of the people he or she works with to achieve a common goal.
Each agent works with other team members to achieve a common goal against opponents.
The acquisition aligns disparate strengths to achieve a common goal.
Great leaders can inspire and influence team members to achieve a common goal.
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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