Complex sentence: By December 2008, Lexi is involved with many of the King's family activities and is living with them; and after the Matthew's death and the company going bust, they are forced to move into Mill Cottage.
Split into simpler sentences: By December 2008, Lexi was involved with many of the King's family activities and is living with them. After Matthew's death and the company going bust, they were forced to move into Mill Cottage.