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"while the former" is a correct and usable part of a sentence in written English.
You can use it to refer to an earlier mentioned idea or person while contrasting it with a current idea or person. For example: "The new restaurant has a larger menu than the old one, while the former had a wider variety of cuisines."
Exact(60)
While the former option is simpler and more precise, it requires additional hardware.
The latter is self-regulating, while the former is not.
While the former suffers from thrombotic risks, the latter suffers from a lack of durability.
The latter agent is a leader while the former is a follower.
While the former are resources that belong to others, venture capital is one's own equity.
While the former is always present, the second only appears when left right symmetry is broken.
While the former is a random loss model, the latter can model bursty losses.
The latter is a novel contribution of this paper, while the former offers opportunities for validation.
Thus, while the former enhances the stresses near the tip, the latter tends to reduce them.
While the former has been correlated with better health and wellbeing, the latter has not.
While the former is admirable, the latter is a threat to law and order.
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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