The phrase "extract themselves from" is correct and usable in written English.
This phrase means to remove oneself from a given situation or to liberate oneself from it. For example: The students were able to extract themselves from the oppressive classroom environment by forming a study group outside of school.
Some teenagers will even extract themselves from their smartphones to offer assistance.
Then they neglect their own health or they miss doctor appointments because they can't extract themselves from their caregiving role.
People have already used cell phones to extract themselves from predicaments as dramatic as being lost on a mountain.
Thought For The Day: on the question of how central bankers extract themselves from their stimulus programmes.
It's remarkable and scary to watch Republican leaders trying to extract themselves from the box they're in.
Certain fig trees can "walk" on their stilt roots to extract themselves from an overly shady spot, or escape from under a tree that has fallen on them.
Camping outside while on the road, they traveled from village to village, trying to follow up with families who had moved, steering clear of outbreaks, and extracting themselves from scenes of political unrest (2012 was an election year).
In Claiborne County, north of Knoxville, officials said they were recently told by Morgan Keegan bankers that extracting themselves from a municipal bond derivative would cost $3 million, a sum the poor county cannot afford.
Meanwhile, the same managers, cognizant of their stewardship role, periodically go through the exercise of extracting themselves from day-to-day concerns in order to contemplate their long-range strategic options.
Others extracted themselves from the scrum and obeyed the chairman's directive to return to the coach at 4pm. "I was bloody frightened," one confessed later after we had clambered aboard.
