Complex sentence: She become a member of the Privy Council, and joined John Major's cabinet, serving as Secretary of State for Health from 1992 to 1995, and then Secretary of State for National Heritage from 1995 to 1997.
Split into simpler sentences: She become a member of the Privy Council upon joining John Major's cabinet as Secretary of State for Health in 1992 and served until 1995. She then served asSecretary of State for National Heritage from 1995 to 1997.