Complex sentence: He did not really cooperate, and despite pressures from the authorities, in 1961 married the Iceland-born Þórunn Jóhannsdóttir, who studied piano at the Moscow Conservatoire.
Split into simpler sentences: He did not really cooperate, and despite pressures from the authorities. In 1961 he married the Iceland-born Þórunn Jóhannsdóttir, who studied piano at the Moscow Conservatoire.