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"based on this conjecture" is correct and usable in written English.
You can use it to introduce the idea that you are drawing a conclusion from something that is not proven to be true. For example, "Based on this conjecture, it appears that the sales trend is increasing over time."
Exact(2)
Based on this conjecture, the more recent literature adopts a production-function approach, in which the immigrant and native workers are two substitutable inputs.
Our investigation is based on this conjecture, supported by data-driven models that are reasonable, realistic and practical, in an attempt to demonstrate their efficacy in studying system-wide epidemic phenomena.
Similar(58)
Based on this expression, conjecture (2) is transformed and proved with the help of a Maple package Bottema [5] in Sect.
Based on this, we conjectured that elevated dietary iron may result in an acceleration of aging-associated protein insolubility.
This approach is based on the conjecture that proteins connecting pairs of other proteins with well-defined biological functions (e.g., modulating longevity) have a higher probability to share that function, as compared to those selected at random [10].
The suggested method is based on the conjecture that a complete description of the impactor shield interaction model for determining the depth of penetration is redundant.
"If broad bans on firearms can be upheld based on the conjecture that the public might feel safer (while being no safer at all), then the 2nd Amendment guarantees nothing".
It is based on the conjecture that eigenvalues corresponding to 'noise' should decay geometrically, therefore, those eigenvalues should appear linear.
The method is based on the conjecture that the eigenvalues associated with eigenvectors that are dominated by noise will decay geometrically.
Based on the conjecture that individuals (nodes) who span boundaries have a larger influence on population-wide outcomes, we restrict treatment to only individuals in more than one group.
Based on this fact, we conjecture that there exist almost periodic functions r 1, s 1, r 2, s 2 satisfying (4.1) such that Eq. (4.3) determined by the coefficients r 1, s 1 and γ = Γ (see (4.2)) is oscillatory and Eq. (4.3) with the coefficients r 2, s 2 and γ = Γ is non-oscillatory.
More suggestions(13)
based on this proposition
based on this supposition
based on this contention
based on this suggestion
based on this postulate
based on this projection
based on this premise
based on this presumption
based on this speculation
based on this prediction
based on this theory
based on this assumption
based on this hypothesis
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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