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The phrase "general framework of" is correct and usable in written English.
You can use it to refer to a larger, usually abstract, system of concepts within which more specific ideas and details can be organized. For example, "This paper will discuss the general framework of U.S. labor laws and their impact on workers' rights."
Exact(60)
The left and centre have produced no new general framework of economic thought for 80 years.
"They have suffered forced displacements and violence within a general framework of discrimination as minorities … The community must be free to make its choices and to evolve.
We next describe briefly the general framework of CPF methods.
General framework of DEFES is shown in Fig. 1.
Figure 1 General framework of the proposed music authentication scheme.
Figure 1 presents the general framework of the proposed system.
The general framework of MIMO filters and controllers is considered.
A general framework of degradation-based reliability was developed.
Locke is grounding human conduct within a general framework of laws originating in God's divine command.
A general framework of regularized online classification EM for GMM was proposed[14].
We discuss about the general framework of our unsupervised and supervised approaches in Section 5.
More suggestions(21)
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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