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'a common framework' is correct and usable in written English.
You can use it to refer to a shared set of principles, ideas, or structures used as a base for multiple different things. For example, "The teachers used a common framework to develop their lesson plans so that each student was getting the same core information."
Exact(60)
The government paper said: "It would establish a common framework across public service pension schemes.
"One of the hallmarks of a great intellectual achievement is that it brings into a common framework a wide variety of seemingly different problems," Mr. Blinder said.
The free application is intended to provide a common framework for assessing a student's ability to pay for college — to award need-based financial aid.
The potluck-dinner approach has gained widespread support, and it could arguably establish a common framework that can be strengthened going forward.
There are benefits to having a common framework, but there are also questions about how applicable this is to early years.
Perhaps education has more in common with democracy than I first realised; could we establish a common framework for delivery that can work for the majority?
CENTRE is a Circle initiative to create a common framework to connect all electronic wallets.
Morality, then, is a common framework that advances the self-interest of each.
For linear eigenvalue problems, the popular methods can be interpreted in a common framework.
For spatial planning a common framework for the federal and the state governments is defined.
This seems reasonable, as Eurostat provides a common framework for the EU-SILC database.
More suggestions(20)
a common environment
a consolidated framework
a common plan
a common policy
a collective framework
a collaborative framework
a common law
a communal framework
a single framework
a general framework
a customary framework
a joint framework
a combined framework
a uniform framework
a common purpose
a common sense
a common house
a JavaScript framework
a common view
a political framework
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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