The phrase "through with" is generally considered to be neutral in tone. It is widely accepted in both spoken and written English across various contexts.
The phrase "through with" is generally considered to be neutral in tone. It is widely accepted in both spoken and written English across various contexts, including casual conversations and more formal settings:
Are you through with your chores so that we can hang out? (Informal Context)
The board of directors has decided to go through with the proposed restructuring plan to improve the company's efficiency. (Formal Context)
While it's straightforward and to the point, it doesn't lean towards informality to the extent that it would be inappropriate in formal discourse:
The negotiations have been challenging, but we are confident that we can see them through with a fair and equitable agreement.
However, in very formal or official writing, alternative phrases like "have completed" or "have concluded" might be preferred for clarity and formality.
The summit of world leaders and diplomats has concluded, with a joint declaration outlining their commitment to global peace and cooperation.
Our team of experts and engineers has completed the final inspection of the spacecraft, ensuring its readiness for the upcoming mission.