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The phrase "are thought to influence" is correct and usable in written English.
It can be used when discussing beliefs or assumptions about the effects or impacts of certain factors on a subject.
Example: "Various environmental factors are thought to influence the growth of plants in different climates."
Alternatives: "are believed to affect" or "are considered to impact".
Exact(60)
A variety of hereditary, environmental and lifestyle factors are thought to influence IBD pathology.
Gene positioning and regulation of nuclear architecture are thought to influence gene expression.
Two different sets of raw material properties are thought to influence artifact form.
Chemical composition and surface morphology are thought to influence the efficacy of the cuticular barrier.
All three elements are thought to influence the rate of carbon accumulation by plants.
And as the Princeton economists stress, "environmental factors that are thought to influence cognitive development" affect height.
These proteins form internal structures within cells at locations where they are thought to influence peptidoglycan synthesis or remodelling.
Polymorphisms in genes involved in benzene metabolism are thought to influence individual susceptibility to various levels of benzene exposure.
Fluctuations caused by diurnal variation and diet are thought to influence test results, which may affect clinical patient management.
The size factor and electronic concentrations are thought to influence the martensitic transformation temperature in the NiMnGa alloys.
Environmental factors, such as pathogen prevalence and resource scarcity, are thought to influence mate preferences for traits related to health and resource provisioning potential.
More suggestions(15)
are thought to remain
are thought to apply
are thought to cost
are meant to influence
are asked to influence
are thought to rest
are perceived to influence
are thought to survive
are bound to influence
are designed to influence
are thought to breed
are thought to kill
are thought to be
are poised to influence
are thought to increase
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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