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The phrase "I thus need" is correct and usable in written English.
We often use this phrase to indicate that something is necessary as a result of a previous thought or action. For example, "I have been struggling to find a job in my field, so I thus need to update my resume."
Exact(1)
I thus need to formulate proxies for the shock in (2) that can capture the change.
Similar(58)
I would thus need taste testers, and turned to two colleagues: Carl H. and Eric S., whose identities I am protecting because Carl eats much like a teenager and Eric is a national security reporter of great journalistic seriousness but whimsical snack-food tastes.
Some would also have you believe that Division I-A players hit harder and play harder than Division I-AA players and thus need more rest.
The monarch's explicit "I will" is thus needed to close this recognitive circle, lest legislation look like a mechanical compromise resulting from a clash of contingent interests, and so as actively willed by nobody.
Seclusion, thus, need not be interpreted negatively.
Most transplant patients, thus, need immunosuppressant drugs to prevent rejection.
We thus need a new strategy, not just an accumulation of tactical steps.
We thus need a moratorium on uranium mining.
One excuse is that global warming has been discussed in other reports and thus need not be dealt with again.
(His running mate is a professor emeritus of a non-military academy & thus need not concern us here).
The self-deceiver thus need not believe ~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