Asbābuhā wa-rimāmuhā joins terms that evoke different strengths of connection. Asbāb suggests available ways of contact, while rimām resembles old, fragile cords. Saying that both were cut off intensifies the rupture.
The metaphor does not claim that a literal rope physically tied the two people together. Instead, the condition of cords helps the listener imagine relationships that could once support contact but no longer do so. The distinction between literal and figurative reference is central to its effect.