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The phrase "are basically determined by" is correct and usable in written English.
You can use it when discussing factors or influences that shape or dictate a particular outcome or situation.
Example: "The results of the experiment are basically determined by the variables we controlled during the study."
Alternatives: "are primarily influenced by" or "are largely shaped by".
Exact(11)
A third approach in the analysis of inflation assumes that prices of goods are basically determined by their costs, whereas supplies of money are responsive to demand.
For the present EISCAT radars, these ACF errors are basically determined by signal to noise ratio.
The latter are basically determined by the high dimensionalities of the search spaces defined by the scenario trees.
Power requirements and profitability of sucker-rod pumping are basically determined by the torque load on the pumping unit's gearbox.
In the SCM, the stresses of concrete, steel, and reinforcing bars corresponding to the linear stain distribution are basically determined by the stress strain relationship of each material.
In the development and manufacture stages of floor and wall ceramic tiles, firing shrinkage and water absorption are basically determined by the combination of raw materials and frequently used as quality control parameters.
Similar(49)
In other words, he said, a nonregulated rent is basically determined by what the owner wants to receive and what a tenant is willing to pay.
The late Miocene landscape, palaeoecology and palaeogeography of the Pannonian Basin, was basically determined by Lake Pannon.
Under these global conditions, the future of individualization will be basically determined by four factors.
Their development is basically determined by the N2 partial pressure present.
Cleavage of the N-Met is basically determined by the penultimate amino acid in the polypeptide sequence.
More suggestions(11)
are fundamentally determined by
are substantially determined by
are generally determined by
are mainly determined by
are chiefly determined by
are mostly determined by
are predominantly determined by
are primarily determined by
are principally determined by
are actually determined by
are inherently determined by
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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