The "thin line between love and hate" refers to that it is very easy to switch from loving a person to hating that person. Have you ever seen the movie "John Tucker Must Die"? It was about 3 girls who kept trying to get revenge on this guy, John Tucker, by humiliating him, because he cheated on all three of them. While all three girls hated his guts for using them, at the same time, every once in a while they'd fight amongst themselves over him. They all still loved him despite the fact that he used them. That quote you gave just shows that certain qualities about a person can plunge you into a cloud of fury and hate against them, while other qualities can draw you back into feeling love for them.
I hope that helps!
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