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Discover Ludwig"we will first" is correct and usable in written English.
You can use it to refer to a sequence of actions. For example: "We will first make the changes to the proposal, then send it to the client for review."
Exact(60)
"We will first strive to overcome [the fires] by ourselves.
We will first show that.
Then we will first estimate for.
We will first focus our attention on the phononic dispersion.
We will first transform equations (1.1) into a symmetric form.
We will first verify that (A Krightarrow K).
We will first show that and are extremal points.
We will first prove (mathfrak {C}) is a normed space.
We will first discuss the behavior at 550 km.
We will first develop some new integral inequalities.
We will first consider the following Obstacle Problem.
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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