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The phrase "are embedded within the" is correct and usable in written English.
It can be used to describe something that is integrated or incorporated into another entity or context.
Example: "The values of the organization are embedded within the company culture, influencing every decision we make."
Alternatives: "are integrated into the" or "are incorporated within the".
Exact(59)
These extremists are embedded within the community.
They are working towards smart homes, where our media are embedded within the very walls of our houses.
These opportunities are embedded within the academic programmes, but also offered as stand-alone events throughout a degree – rather than being an afterthought for final year students.
Additional components include the connective tissue, fat (adipose tissue), nerves, and blood vessels that surround and are embedded within the muscles.
Perhaps the question does not have one answer over another; since writers are embedded within the culture they appraise, it is maybe inescapable that they will at once undermine and reinforce that culture's wider values.
Various social and economic decisions are embedded within the choice to use different resource harvesting methods.
Thus, the ARJs between the anatase and rutile phases are embedded within the anatase phase [15].
The SMA wires are embedded within the layers of the composite laminate.
Among the ideas being considered are engines that are embedded within the wings and contra-rotating propellers.
Step 5 For each embeddable segment, the packaged bits are embedded within the approximation coefficients using AMM.
With the aid of structural, magnetic and quantitative analyses, we demonstrated that the dopants are embedded within the nanoparticles.
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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