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The phrase "a more general construction" is correct and usable in written English.
It can be used when discussing broader or less specific frameworks, designs, or structures in various contexts, such as linguistics, architecture, or programming.
Example: "In this analysis, we will explore a more general construction of the theory that can apply to multiple scenarios."
Alternatives: "a broader framework" or "a less specific design".
Exact(2)
This result follows from a more general construction of bases on R and [0, 1].
The basic method used to produce a parametrix for the Laplacian is part of a more general construction, by G. Mendoza and the second author, but since this is not yet available the present paper has been made essentially self-contained.
Similar(58)
Life satisfaction is one factor in the more general construction of subjective wellbeing.
Our results also show that the increased prices of government projects in Balat׳s (2012) study carry over to the other, more general construction sectors in our environment.
On the other hand, more general constructions [3, 6, 17 19, 21] impose certain restrictions on the frame dimensions.
ZP2 was created shortly thereafter in an attempt to lay out a more general strategy for the construction of fluorescein-based sensors.
Here, we use a more general weighted gene co-expression network construction method for network construction that can be applied generically to microarray data using simple correlational analyses of individual genes [ 16].
Our N-phase formulation is developed based on a more general method that allows for the systematic construction of reduction-consistent formulations, and the method suggests the existence of many possible forms of reduction-consistent and thermodynamically consistent N-phase formulations.
At the same time, CST specify a more general Reference Cognitive Architecture, which is a reference model for the construction of application specific cognitive architectures.
It filed a more general "white paper".
And perhaps a more general one.
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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