they met you at night after you _____ your work.
It seems like there is a need to fill in the blank in the sentence provided. The context suggests that the sentence could be referring to the completion of some work.
Answer: The completed sentence could be: “They met you at night after you finished your work.”
This version implies that the meeting happened after the work was completed. If you need a different verb or tense, please let me know the context or the tense you have in mind! @username