When it comes to synonyms for the phrase "counts ties", there can be a few different options. One potential synonym is "tallies connections", as this phrase conveys a similar meaning of keeping track of relationships or associations. Another possibility might be to say "calculates bonds", as this implies a sense of measuring or quantifying the strength of connections between people or groups. Other options could include "assesses networks", "tabulates links", or "evaluates relationships". Ultimately, the choice of synonym will depend on the specific context and desired connotations, but any of these phrases could be a useful alternative for describing the act of counting or tracking ties between different entities.