they connect themselves; they link up; they care (colloquial)
1. Third person plural present indicative of 'ligar-se' - to connect, link, or join together
The cables ligam-se at the junction box.
Os cabos ligam-se na caixa de junção.
2. To become emotionally involved or attached to something/someone (reflexive)
They don't care; they don't ligam-se to anything.
Eles não se importam; não se ligam a nada.
3. To pay attention to; to care about (colloquial, Brazilian Portuguese)
He doesn't ligam-se what people think.
Ele não se liga o que as pessoas pensam.
NYC Slang
they don't give a damn; they don't care
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