Sentence examples for but we from inspiring English sources

The phrase "but we" is correct and can be used in written English.
It is often used to contrast or introduce a counterpoint to the previous part of the sentence. Here is an example: "I know the project is due tomorrow, but we can still make some edits before submitting it." In this example, "but we" introduces a contrasting idea to the first part of the sentence, showing that despite the project being due soon, there is still time to make revisions.