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The phrase "allowed the assumption" is correct and usable in written English.
It can be used when discussing a situation where something has been permitted or accepted as a belief or idea without proof.
Example: "The lack of evidence allowed the assumption that the project would be completed on time."
Alternatives: "permitted the belief" or "facilitated the presumption".
Exact(2)
When a speech has been agonised over for as long as David Cameron's speech on Europe, one is allowed the assumption that the language is explicit and chosen carefully.
If the use of the notions of truth and falsity is allowed, the assumption of 1-consistency can be expressed intuitively simply as the requirement that the formal system in question does not prove any false Σ01-sentences (i.e., the system is sound at least in the case of such sentences).
Similar(58)
The detailed analysis of the diffraction pattern allows the assumption of the presence of Mo2C and γ-Fe phases.
These results allow the assumption that the reaction of ozone decomposition proceeds by the radical chain mechanism.
The existence of different types of individuals allows the assumption that among economic actors some are able to contribute to the management of common resources.
The calculated TO values allow the assumption that the existence of short range forces due to polarization of the CC bonds, originating on the far CH3 groups by the inductive effect, have an important effect on transport phenomena in these melts.
Therefore, although the number of study participants was limited after BMI stratification in both TUEF and EUGENE2, our findings in three independent European populations allow the assumption that the SGK rs9402571 genotype is protective against type 2 diabetes.
This allows the assumption that SSC-CIP is – similar to hemochromatosis– rare in the general population.
Both returned p values above 0.05, thus allowing the assumption of normality.
The appreciable numbers of unsynchronized HSCs allow the assumption of Poisson-distributed differentiation times of the HSC population.
Use of the top five journals also allows the assumption of a conservative estimate in our findings.
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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