Complex sentence: Due to the stage hypnotist's showmanship and their perpetuating the illusion of possessing mysterious abilities, the appearance of a trance state is often seen as caused by the hypnotist's power.
Split into simpler sentences: Due to the stage hypnotist's showmanship and their perpetuating the illusion of possessing mysterious abilities. The appearance of a trance state is often seen as caused by the hypnotist's power.