I had to wait until I was home to look up this reference illustrating some more of the Watchtower's sleight of hand when it comes to this section of the book of Daniel.
Daniel 11:35 reads, "And some of those having insight will be made to stumble, in order to do a refining work because of them and to do a cleansing and to do a whitening, until the time of [the] end; because it is yet for the time appointed."
When does the Society claim the "time of the end" started? The usual answer is 1914. So really according to their chronology the limit of this portion of Daniel's prophecy would expire in 1914. But the problem is that they apply this section of Daniel to events that happened after 1914, during the Cold War of 1948-1989.
So how does the Society navigate this gaffe? By claiming that the "time of the end" mentioned at Daniel 11:35 is not the TIME OF THE END, but rather a generic time of the end for this particular event. They say:
"Hence, at Daniel 11:35, "the time of the end" must relate to the end of the period of time needed for God's people to be refined while enduring the assault of the King of the North."
However, just a few verse later at Daniel 11:40, the go right back to interpreting "the time of the end" in the typical Watchtower fashion, applying it to the time period that began in 1914 leading up to Armageddon.