but, nevertheless, only: a word that sets aside what comes before and points the reader to what really matters
The word πλήν does most of its New Testament work as a connector that tells the reader to set aside what came just before, not to deny it or correct it, and to turn attention to what follows as the writer's main point. It is not the same as the more familiar Greek word for "but" (ἀλλά) that swaps out a preceding claim ("not X, but Y"), nor the word that simply keeps a sequence moving. πλήν says, in effect, "granted all of that, but here is what really matters."
This was ordinary everyday Greek in the first century. Letters and documents from Greek-speaking Egypt use πλήν in exactly this way, so it is not a special biblical or Hebrew-flavored idiom. In common speech it had become the routine word for "but," largely taking the place of the older word. Within that shared use, Luke and Paul lean on the word with recognizably different emphases: Luke places it at the punchline of Jesus's sayings and parables to deliver the decisive judgment or command, while Paul uses it to break off a digression and return to his main practical point.
Luke's fondness for this word stands out: fifteen of the thirty-one New Testament occurrences fall in the Gospel of Luke alone, and roughly sixty percent of them across Luke and Acts together. The pattern is so pronounced that it counts as one of Luke's signature word choices, and his πλήν clauses at the ends of sections are often read as a mark of his own editorial hand.