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The phrase 'general context of' is correct and usable in written English.
You can use it to refer to the larger framework in which a particular statement or idea is understood. For example, "This decision was made in the general context of increasing public demand for safer products."
Exact(60)
In fact, several results for the Pareto (II) distribution can be proved to remain valid in the more general context of the Pickands generalized Pareto model.
In the first of these generalizations, sampling itself is placed in the more general context of reproducing kernel Hilbert spaces of functions defined on an abstract set.
We provide generalizations of Burkholder's inequalities involving conditioned square functions of martingales to the general context of martingales in noncommutative symmetric spaces.
-What is the (general) context of these events?
I could relate Sadah to the general context of Muslim women, but once again, I think this risks essentialising her and Muslim women in general.
We present the result in the general context of all higher dimensional curvilinear element formulations.
The proposed methodology is placed within the general context of Model-Driven Architecture (MDA) development.
First, the general context of the area has been set follow by seismic interpretation.
BC due to the general context of deltaic progradation west of the ancient city.
Accordingly -equivalence may be regarded as isomorphism in the extremely general context of universes of "variable" sets.
We cannot understand the individual Robespierre unless we view his actions in the meaningful general context of the French Revolution.
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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