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The phrase "attributed substantially to the" is correct and usable in written English.
It can be used when discussing the causes or sources of a particular outcome or phenomenon, indicating that a significant portion of the responsibility or influence is linked to something specific.
Example: "The success of the project can be attributed substantially to the team's dedication and hard work."
Alternatives: "largely credited to the" or "mainly due to the".
Exact(1)
We show that overexpression of MUC1 in epithelial cells prevents initiation of anoikis in response to loss of cell adhesion, an effect that is found to be attributed substantially to the MUC1 extracellular domain.
Similar(59)
These results seem sufficient to attribute hydrogen embrittlement of zirconium alloys substantially to the brittle nature of the hydride.
Of the 10 impact variables on society, graduates attributed the effect they had on society substantially to the MPH program; for the highest rated variable (13% to 71%); for the lowest rated variable (4% to 42%).
But that could add substantially to the cost.
Electromagnetic acceleration contributes substantially to the thrust.
By increasing the total gas pressure from 10 to 70 MPa, the compressive strength and the Young's modulus were increased considerably from 15 to 52 MPa and from 4.1 to 12.6 GPa, respectively, which can be substantially attributed to the high collapse stress from the high enclosed gas pressure.
The most important limitation of the present study was the small sample size, which may have substantially attributed to the bias of the results.
This effect is found to be substantially attributed to the extracellular domain of MUC1, which prevents the normal activation of cell surface anoikis-initiating molecules in response to loss of cell adhesion.
It was in the course of this Parliament that Henry VII's demand for a retrospective subsidy to cover the expenses of his daughter's marriage to James IV of Scotland was rejected, and Roper attributes this substantially to More's intervention.
This difference could be attributed to the substantially higher density of pigs in the Netherlands (1,244 pigs/km) than in Manitoba (55 pigs/km), Saskatchewan (6 pigs/km), and Ontario (91 pigs/km) (www.agriculture.gov.sk.ca/Pig_Densities).ca/Pig_Densities
The results are attributed to the substantially higher damage tolerance of CarbonFlex than conventional carbon-fiber reinforced polymer.
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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