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The phrase "a second major assumption" is correct and usable in written English.
It can be used when discussing multiple assumptions in a context, particularly in academic or analytical writing.
Example: "In this study, we will explore a second major assumption regarding the impact of climate change on biodiversity."
Alternatives: "another key assumption" or "a further significant assumption".
Exact(1)
A second major assumption of IM is that there should be no intra-locus recombination [ 49].
Similar(56)
The second major assumption is that the material is elastic, that is, strains are directly proportional to the stresses applied, and when a load is removed, the deformation disappears.
The second major assumption is that people use resources like self-care agency, income, informal care and a social network to fulfil their needs.
The second major assumption is that the width of the ST in the region of interest does not exceed the distance between the landmarks R and I.
This is the third major assumption in the model.
A second major event was decentralization.
A first major trophy is within grasp.
External validity is a first major concern.
Fourth, a major assumption of P4P is that workers are able to offer high-quality care if they choose to.
We still have not addressed his second major questionable assumption.
First, we do not see PN inhibition onto iNC cells as a major assumption in the paper, and we were not dealing with this question at all in the text.
More suggestions(1)
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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