Chords and slurs

[Maurizio Tomasi]

I am trying to connect two consecutive chords with slurs, but I cannot
guess the right way to do it. Consider the following example:

----------------------------------------------------------------------
\score {
        \context Staff \notes \relative c' {
                <e2 g> <c4 e> r
                | [c'8 \grace d16 c16 b] [c8-. d-.] e4 r2
        }
}
----------------------------------------------------------------------

I want to connect the first two chords with two slurs: the first shuld
connect "e2" to "c4", the latter "g" to "e". How can this be done?

Thanks
Maurizio