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"favour the hypothesis" is correct and usable in written English.
You can use it when you are expressing support for a theory or an idea. For example: "Given the evidence, we should favour the hypothesis that the new medicine will be effective in treating the disease."
Exact(39)
The authors favour the hypothesis of non-linear coupling between resonance modes which explains the sensitivity of the rasping noise generation to the slope of the acceleration.
Therefore, these observations favour the hypothesis that the switch from glucose to KBs as an energetic substrate in patients' brain could play a relevant role in changing their interictal abnormal information processing.
We therefore favour the hypothesis that maternal caffeine use during a critical period of fetal development is the most important.
Based on our findings, we favour the hypothesis that the passenger domain folds at least at one step during secretion and that stabilizing interactions between the folded Domain 1 and β-helix are indispensable.
Rather than gene silencing, we favour the hypothesis that non-CpG patterns are marking genomic regions that underwent heterologous recombination, a dangerous event for a genome, as it often indicates that transposons or viral genomes are moving around.
In conclusion, our data favour the hypothesis that a selective pressure drove at least three slow-causing variants to the frequencies observed today, but do not allow us to discriminate between balancing selection and directional selection on multiple standing variants.
Similar(21)
In conclusion, our findings favoured the hypothesis that proposers offer fairly based on the strategic motives.
The identification of a site with large accumulations of LCTs favours the hypothesis of an African origin for the Acheulean of Southwest Europe.
To explain the prominent conductive anomaly, integration of geophysical data favours the hypothesis of electrical conduction across well-connected mineral network in pre-Cretaceous sediments.
Our behavioural and imaging findings favoured the hypothesis of strategic motives for fair UG offers, which assumes that a fair offer is made to avoid rejection and receive reward.
The molecular weight has been found invariant after renaturation on cooling that favours the hypothesis that the restoration of the ordered form of xanthan takes place through the same molecule.
More suggestions(3)
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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