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The phrase "are strongly determined" is correct and usable in written English.
It can be used to express a firm resolution or decision regarding a particular course of action or belief.
Example: "The team members are strongly determined to achieve their goals despite the challenges they face."
Alternatives: "are highly motivated" or "are firmly resolved".
Exact(27)
Although species assemblages on the coffee farms are strongly determined by natural regeneration, the number of individuals contributed by these processes is low.
In years with occurring relevant debris-flow activity the total annual drainage-basin wide suspended sediment yields are strongly determined by these single extreme events.
"... in dendrites there is a strong contribution of morphology because the peak calcium levels are strongly determined by the surface to volume ratio (SVR) of each branch, which is inversely related to branch diameter.
Such a transdisciplinary approach is highlighted by bringing together the relevant hydrological, ecological, social, and cultural factors that determine the uses of water and the integrated river basin functioning, which are strongly determined by the connectivity between upstream and downstream ecosystems, their functions, and services.
The rapid opening and reliable reclosing of a PSV are of great importance and are strongly determined by the coupling effect of the compressed spring and the fluid flow through the chamber region, which is mainly determined by the shape and the size of the disc and adjusting ring.
Conduction and interfacial growth properties of TCO are strongly determined by its fabrication parameter.
Similar(33)
Most experts now agree that autism is strongly determined by heredity.
The results indicated that local curvature is strongly determined by genes for large parts of the face.
The outcome, possibly in July, will be strongly determined by the German chancellor, Angela Merkel, who has formally backed Juncker but is known to resent being forced to.
In fact, a growing body of evidence demonstrates that economic success is strongly determined by the way a company addresses social issues.
This rupture is strongly determined by geometric and surface properties, such as contact and geometrical angles.
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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