Desahuciadas is a strong and somewhat dramatic word that literally means 'evicted' or 'given up for lost'. It's often used in a medical context for a patient whose condition is beyond hope.
In this song, the artist uses it metaphorically to describe his 'esperanzas' (hopes) as being 'desahuciadas', meaning his hopes are completely lost or beyond saving. This powerful imagery conveys the depth of his despair and the finality of his lost love, making it a memorable and impactful word choice.
Abraham Vazquez's "Yo No Sé Olvidar" is a really honest look at what it's like when you just can't get over someone. He imagines his ex calling him, saying "Puede que me llames tu mañana" [Maybe you'll call me tomorrow], and even hopes his tears might reach her pillow to feel close again. It's clear she's moved on, looking better and not showing the same nostalgia, but he's still stuck.
He's so desperate to kiss her and hold her that he'd throw everything else away, just to taste her lips "Una vez más" [One more time]. Even though his hopes are "desahuciadas" [hopeless], he hasn't forgotten her and wants her to hear it. He admits he's not as strong as she thought, and it's not a trick – "Yo no sé olvidar" [I don't know how to forget]. He knows the suffering will eventually pass, but he's asking her to "Enseñame" [Teach me] how to forget, because she was so good at playing her part, the "dueña de todo este amor" [owner of all this love].