Sorry!
I have to retract my previous suggestion!
Indeed, BBEdit removes duplicates lines, not edges.
However, an other solution is to open the file with the older version 2.3.2 of Cytoscape .
By doing that, duplicate edges are removed. It was a bug, I think, but useful!
Actually, it would be nice to it back as option. Indeed, if one wants to calculate topological properties of a network, based for instance on shortest path or on degree, duplicate edges will be a problem. If the network is undirected
Carlo