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The phrase "a substantially higher level" is correct and usable in written English.
It can be used when comparing levels of quality, performance, or intensity in various contexts, such as academic, professional, or technical discussions.
Example: "The new software offers a substantially higher level of security compared to its predecessor."
Alternatives: "a significantly greater level" or "a markedly higher level."
Exact(21)
Also, from a computer science perspective, it could offer a substantially higher level of control than is currently available.
It should lead to the global population stabilising, although at a substantially higher level than it is now.
A promotion is defined as advancement to a job that requires a substantially higher level of competency or substantially different responsibilities (i.e., higher market target within a broad banded structure).
Control cultures showed a substantially higher level of phosphorylation of T181, compared to the other sites tested (Figure 4), and both QA and OA resulted in a minimal increase in the phosphorylation of this site over the control level.
It may reflect a reduced efficiency of energy acquisition and processing during lactation in non-capital breeders [50], [51], a failure to minimize the thermoregulatory losses of dependent offspring [52] and/or a substantially higher level of general activity due to increased sensitivity to disturbance [53].
The rationale is that if a gene in e.g. soil has a substantially higher level of orthology to proteins in sea, compared to the rest of the proteins in soil, then it is less likely to be a common fixture of soil.
Similar(39)
Enzyme preparation from the S2 cells expressing SeAPN exhibited a substantially high level of aminopeptidase activity, demonstrating its function as APN.
Research findings by Robak et al. [ 11] show that serum VEGF has a substantially high level of expression in SLE patients and is positively correlated with the ESR and SLEDAI score.
We found that when cases with clear cell RCC showed a clinical manifestation of high serum Ca, the majority of tumors expressed a substantially high level of PTHLH mRNA i.e., a PTHLH expression signal of >1.275 by our qRT-PCR assay.
Also, in the study under discussion we detected a substantially high level of the pro-inflammatory cytokine, IL-6 in NTI patients supporting its possible role as an endocrine cytokine with a regulatory effect on many endocrine systems [ 30], including thyroid gland [ 31].
This suggests that the substantially higher level of chromosomal damage at 6 days reflects the heterozygous cells' lack of ability to recover or apoptose from irradiation-induced damage.
More suggestions(13)
had a substantially higher level
a markedly higher level
a distinctly higher level
a far higher level
a sharply higher level
a considerably higher level
a substantially higher rate
a substantially greater level
a noticeably higher level
a dramatically higher level
a considerable higher level
a substantially higher number
a substantially higher percentage
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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