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The phrase "we first need" is correct and commonly used in written English.
It is typically used to indicate that a certain action or step must be taken before proceeding with the rest of the sentence or idea. Example: "Before we can start building the new bridge, we first need to secure funding from the government."
Exact(60)
We first need to be clear about the facts.
To make way for data-driven quality, we first need to make sense of data.
To make the comparison more fair, we first need to level the playing field.
To guarantee wilderness in the long run, we first need to ensure a constituency for it.
We first need some notation.
We first need some preparations.
We first need to define a set.
We first need the following lemma.
We first need some preliminary results.
We first need some notations and definitions.
We first need to assert that (hin P).
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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