Here are the main verses on the topic:
Luke 21:20-24
20 And when ye shall see Jerusalem compassed with armies, then know that the desolation thereof is nigh.
21 Then let them which are in Judaea flee to the mountains; and let them which are in the midst of it depart out; and let not them that are in the countries enter there into.
22 For these be the days of vengeance, that all things which are written may be fulfilled.
23 But woe unto them that are with child, and to them that give suck, in those days! for there shall be great distress in the land, and wrath upon this people.
24 And they shall fall by the edge of the sword, and shall be led away captive into all nations: and Jerusalem shall be trodden down of the Gentiles, until the times of the Gentiles be fulfilled.
Revelation 11:2
2 But the court which is without the temple leave out, and measure it not; for it is given unto the Gentiles: and the holy city shall they tread under foot forty and two months.
Daniel 8:13-14
13 Then I heard one saint speaking, and another saint said unto that certain saint which spake, How long shall be the vision concerning the daily sacrifice, and the transgression of desolation, to give both the sanctuary and the host to be trodden under foot?
14 And he said unto me, Unto two thousand and three hundred days; then shall the sanctuary be cleansed.
Right now, the Israel controls Jerusalem. Around the 3.5 year mark of the tribulation, Jerusalem will be attacked (Luke 21:20). The anti-christ will then set up the abomination of desolation and recover from a deadly head wound. At that point, the bible says that Jerusalem will be "trodden down until the times of the Gentiles be fulfilled." (Luke 21:24)
There's no way that the "times of the Gentiles" could end with a pre-trib rapture. The "times of the Gentiles" lasts 42 months (Revelation 11:20) which is referring to the 2nd half of Daniel's 70th week. I believe the 2,300 days that's mentioned in Daniel 8:14 is talking about the amount of time till the sanctuary will be cleansed, not the total amount of time that Jerusalem will be trodden down by the Gentiles.
I also want to mention this passage in Romans 11:
25 For I would not, brethren, that ye should be ignorant of this mystery, lest ye should be wise in your own conceits; that blindness in part is happened to Israel, until the fulness of the Gentiles be come in.
26 And so all Israel shall be saved: as it is written, There shall come out of Sion the Deliverer, and shall turn away ungodliness from Jacob:
I believe that the term "fulness of the Gentiles" is the same thing as "times of the Gentiles". This passage was confusing for me for a long time but I'll write what about what I think it means.
13 And the same hour was there a great earthquake, and the tenth part of the city fell, and in the earthquake were slain of men seven thousand: and the remnant were affrighted, and gave glory to the God of heaven.
If you read the whole chapter, you'll see that it's referring to the city of Jerusalem. I believe that the "remnant" that are mentioned in Revelation 11 could be Jews that will turn from their false religion and believe on Jesus at the end of Daniel's 70th week. Then Jesus comes back to rule for 1,000 years and turns away all ungodliness from Jerusalem. I think that is what's being referred to in Romans 11:25-26.
