The paper deals with two simply connected solvable four-dimensional Lie groups M1 and M2 . The first group is a direct product of the nilpotent Heisenberg Lie group and the one-dimensional Lie group. The second one is a direct product of the two-dimensional non-abelian Lie group and the two-dimensional abelian Lie group. Applying Methods of [4, 6] we investigate the causal structure of left-inv...