Love and hate? I beg you, the opposite of love is indifference. If in a relationship you find yourself in a situation where you are absolutely indifferent to your partner or vice versa, then it becomes very painful.
In the case of hatred, it is simply not born. Feelings for a person with hatred may remain, but they will already be diluted with this unpleasant emotional residue.
"It's one step from love to hate." - I find it difficult to agree with this statement. And coming up with an example for this statement is even more difficult.
The situation is different with the paraphrased phrase. In English there is an expression "love to hate" - "to love to hate." A situation in which hatred towards someone causes that very feeling of emotional uplift and happiness. A simple example: a repulsive character in a film whose feeling of dislike is greater than the appearance of the most beloved character.
I would also refer to this concept as grotesque - "So awful, let me see!". Of course, not everything that is bad and hateful will make you feel the same happiness and love. However, things are terrible, no matter how strange and sad it may sound, often attract a person.
Simple psychology, sociology, and not some kind of magic! It seems to me that we urgently need to enrich our speech with another turn of speech, "from hatred to love, one step." The main thing to remember is that some things only deserve to be loved and hated!