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The phrase 'we next' is not a complete sentence, so it is not correct in written English.
You might use it in spoken English to draw attention to the next topic of conversation or activity. For example, you might say: "Let's talk about the budget, we next need to discuss the staffing plan."
Exact(59)
We next prove (ii).
We next consider (2.13).
We next show that.
We next show (ii).
We next evaluate β.
We next check sufficiency.
We next set.
We next explain his definitions in detail.
We next rotated the floppy disk.
We next distinguish three cases.
We next estimate III: (413).
More suggestions(6)
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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