Hi Mercer,
 
When you pull a verse out of its setting to create a doctrine you risk false doctrine.
Instead of keeping the verses in their context you get a pretext.  This is violating the rules of hermenuetics.
 
It is so easy to do that.  So many cults have sprung up for doing that very same thing.  The first verse in its context you referred to  is talking about the calamity brought on by other humans or anotherwords, persecution by others towards christians, or just basic hardship, not God's judgement.
 
The other is referring to Dan. chapter 9, the 70th week, a full set of 7 years.  For the Christian, God judged us on the Cross of Calvary where he judged sin, once and for all for the believer.  We do not come under that kind of Judgement again.  Rather at the Beama seat it is what we have done for Christ, our works, that get rewarded or burned up as chaff.  We will always be with the Lord.
 
The 7 year tribulation is again God's judgement regarding Israel, the Antichrist and non-believers.  In His grace and mercy, God will always have a remnant, and in the course of this final judgement from God, there will be those who decide to not follow the Antichrist and False Prophet and give up their lives for follow Jesus.
 
We forget Daniel is praying for the CONCERNS OF ISRAEL, not the Church for it was a mystery that Paul spoke of in Ephesians.  The church was hidden until the birthing of it at Pentecost.  That final 7 years is again dealing with Israel, keeping it in the context of scripture.  We are not Israel. The Body of Christ which cannot be severed (ie; the Bride of Christ), which again acccording to Ephesians as we are sealed unto the Day of Redemption, is whole, complete and will go in that great Rapture prior to the 7 year tribulation, or Day of Christ, or Jacob's trouble.  Both the Body of Christ and Bride of Christ are synonymous terms.  They are one and the same, just as the 7 year trib, Jacob's trouble, Day of Christ, all being synonymous meaning the same event.
 
The church is not mentioned after chapter 5 in Revelation.  Chapter 6-18 deal with Israel's redemption and God's judgement of the unrighteous.  In Matt 24 Jesus is answering the question asked by his disciples about the Jewish Temple and the Nation of Israel as they did not see the church until after the Resurrection and Ascension, and then Pentecost.  Jesus is dealing again with the "birthpangs" leading up to the Abomination of Desolation, again dealing with Israel.  He is referring to that same 7 year tribulation through the eyes of a Jewish person.
 
You would have to consider yourself as one of the disciples, a Jewish man who had been looking for their Messiah and thought that Jesus was going to bring about Israel's rescue from the Romans and bringing in at that time the Messianic Kingdom, a physical Messianic Kingdom where He would rule on the throne of David.
 
It's all about keeping the the verses in their setting, understanding the historocity of their time and looking at their world through their own eyes.
 
The best work I have found done on this is written by Dwight Pentecost, "Things To Come".  Also, I know I have referred to Ramm's work on Hermenuetics, or the study of Interpretation of Scripture, which includes exegesis.
Anyway, that is my thoughts and concerns on this matter. Hope that this is the week of our homegoing. AMEN?!
 
Patty