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"line of arguments" is a correct and usable phrase in written English.
It could be used when you want to indicate a set of related and connected arguments, typically used to support a particular point. For example, "He presented a strong line of arguments in support of his position."
Exact(24)
A main message from our line of arguments is that we cannot afford to generally exclude non-native tree species from urban greening.
You can follow the shifting line of arguments in these remarks just now from Greens leader Christine Milne in a press conference just a couple of minutes ago.
The proof of this nonuniqueness (but not existence) result relies on an entirely new line of arguments in which the concept of generalized critical value plays a central role.
In short, the same line of arguments apply.
Following the same line of arguments as in the proof of Theorem 2 of Shao [14], we can obtain (3.14) and (3.15) immediately.
Also for this line of arguments policy-makers and experts "filter" research findings (e.g., "neuroscience revealed," studies also indicate") to support their arguments for universal and mandatory ECE.
Similar(36)
We then built a line-of-argument synthesis, which interpreted relationships between the concepts.
This line of argument gets tangled.
The other line of argument is causal.
Historical data buttresses this line of argument.
This line of argument is not new.
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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