I actually asked 3 therapists, 2 of them psychologists that same question if you can love someone and hate them at the same time. My W was in one of those session during MC. All three gave a resounding "Yes, of course." They say it is very typical and common. Hate and love are within the same lines of emotion with passion. The opposite of love is indifference, note hate. All 3 say this. Huh.

M17 yrs.
me49
xW47
d15
d11

BD1-Jul/11(Affair found out)
Therapy 9 months (tried 2)
BD2- May/12(sep)
Court Jul/13 - I got 50/50
Sold home - Aug/13
Court #2 - Dec/13
Court#3 - Apr/14 ... She lost again
We settled.