Complex sentence: His mother, known as Dolly, was influential in the neighborhood and in local Democratic Party circles, but also ran an illegal abortion business that provided services for free, from her home; she was arrested several times and convicted twice for this offense.
Split into simpler sentences: His mother, known as Dolly, was influential in the neighborhood and in local Democratic Party circles, but also ran an illegal abortion business from her home that provided services for free. She was arrested several times and convicted twice for this offense.