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The phrase "the general framework" is correct and usable in written English.
It can be used when discussing the overall structure or system within which something operates or is organized.
Example: "In order to understand the project better, we need to consider the general framework that guides our approach."
Alternatives: "the overall structure" or "the broad outline."
Exact(60)
MEN and FW have invented the general framework for the non-uniform random generation.
Many critical details are still missing, but the general framework is notable for its familiarity.
Within the general framework described in Sect.
The next section outlines the general framework.
We next describe briefly the general framework of CPF methods.
This figure shows the general framework for our proposed paradigm.
The general framework is illustrated in Figure 3.
Figure 1 presents the general framework of the proposed system.
The general framework of MIMO filters and controllers is considered.
We have adopted the following assumptions regarding the general framework.
However, the general framework says nothing about what the states are.
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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