Complex sentence: In 1967 President Lyndon Baines Johnson, aware of her work for the Democrats contacted Furness and offered her a position Special Assistant for Consumer Affairs, and continued in this role until the end of the Johnson administration in 1969.
Split into simpler sentences: In 1967 President Lyndon Baines Johnson, aware of her work for the Democrats contacted Furness and offered her a position as Special Assistant for Consumer Affairs. She accepted the assignment and continued in this role until the end of the Johnson administration in 1969.