Complex sentence: Engaging New York's electoral fusion election laws, Gillibrand ran on both the Democratic and Working Families lines; and in addition to having the Republican nomination, Sweeney was endorsed by the Conservative and Independence parties.
Split into simpler sentences: Engaging New York's electoral fusion election laws, Gillibrand ran on both the Democratic and Working Families lines. In addition to having the Republican nomination, Sweeney was endorsed by the Conservative and Independence parties.