Interplanner said in post 3:
The verb "taken" there is bad.
That's right.
Luke 17:26-37 and Matthew 24:37-41 refer to what will happen at Jesus' 2nd coming, "when the Son of man is revealed" (Luke 17:30), "the coming of the Son of man" (Matthew 24:37,39), which Jesus had just finished saying won't happen until immediately after the future tribulation (Matthew 24:29-31). Those "taken" at the 2nd coming (Luke 17:34-36, Matthew 24:40-41) will be unsaved people who will be taken to where they will be killed and birds will eat their dead bodies (Luke 17:36-37; Matthew 24:28, cf. Job 39:30b; Revelation 19:21). The Greek word "paralambano" ("taken": Luke 17:34-36, Matthew 24:40-41) can be used to refer to being taken to another place to be killed (John 19:16-18).
Those "left" where they are at the 2nd coming (Luke 17:34-36, Matthew 24:40-41) will include unsaved people who will be forced to come up annually to worship the returned Jesus in Jerusalem during the millennium (Zechariah 14:16-19). These unsaved people will have to be ruled with a rod of iron by Jesus and the bodily resurrected church during the millennium (Revelation 2:26-29, Revelation 5:10, Revelation 20:4-6, Psalms 2, Psalms 66:3, Psalms 72:8-11). And their descendants will be deceived by Satan after the millennium is over into committing the Gog/Magog rebellion (Revelation 20:7-10, Ezekiel chapters 38-39).
Before the millennium, at Jesus' 2nd coming, those in the church will neither be "taken" and killed, nor "left" where they are, but will be "gathered together" (raptured) (Matthew 24:31; 2 Thessalonians 2:1) into the sky to hold a meeting in the air with the returned Jesus (1 Thessalonians 4:17). The purpose of this rapture meeting will be so that those in the church can be judged by Jesus (Psalms 50:3-5, cf. Mark 13:27) and married to Jesus (Revelation 19:7) in the sky, before Jesus descends from the sky (the first heaven) with the obedient part of church to bring his 2nd-coming wrath on the unsaved world (Revelation 19:14 to 20:3).
So the 2nd coming will be like "the days of Noah" (Matthew 24:37) and "the days of Lot" (Luke 17:28,30) in that just as Noah went into the ark before the Flood, and Lot went out from Sodom before it was destroyed, so the church will be raptured into the sky at the 2nd coming (1 Thessalonians 4:15-17, Matthew 24:30-31; 2 Thessalonians 2:1-8, Revelation 19:7) before Jesus begins the 2nd-coming wrath (Revelation 19:15 to 20:3, Luke 17:26-30, Matthew 24:37-39).