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The phrase "are highly constrained with" is correct and usable in written English.
It can be used when discussing limitations or restrictions that are significant in nature.
Example: "The resources available for this project are highly constrained with budgetary limitations and time restrictions."
Alternatives: "are significantly limited by" or "are greatly restricted by".
Exact(1)
The near-identity of correlation matrices of digits II and III, combined with strict raw measurement isometry of their digit elements across species, suggest that the syndactylous digits are highly constrained with respect to each other across the diversity of syndactylous species.
Similar(59)
The genomic distribution of the native targets is highly constrained, with >99% of the identified targets present in five autosomes but not in the sex chromosome.
The fact that tropomyosin's coils are highly constrained seems consistent with its recently demonstrated essential role in cytokinesis [47], and the involvement of much of its surface in binding to actin.
Most informational genes are highly constrained by interactions with other proteins and evolve slowly (Rivera et al. 1998), which can potentially lead to slower divergence of nucleotide usage patterns.
"U.S. exports of unmanned systems are highly constrained.
We also show that scenarios with a sign flip from loops of color octet charged scalars or new fermionic states are highly constrained.
It has been also observed that the obtained solutions are highly constrained.
This network develops at high interfacial concentrations where the molecules are highly constrained because of conformation changes that prevent desorption.
However, these reformulations are highly constrained and can be expensive to solve.
It is often deployed in environments that are highly constrained.
By contrast, certain positions within HSEs are highly constrained.
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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