If still want to do this with your Jabra Play and you're willing to do (and spend) a little extra, you could buy their replacement cable for $10. Actually, it might even be easier that way, as all you'll really be doing is shortening the cable by cutting out the middle chunk, splicing the wires of the two ends back together, and reinforcing the connection with hot glue/epoxy putty/sugru. Possibly no soldering necessary.
Edit: The nice thing about it in your case is you already have a Jabra Play.
If still want to do this with your Jabra Play and you're willing to do (and spend) a little extra, you could buy their replacement cable for $10. Actually, it might even be easier that way, as all you'll really be doing is shortening the cable by cutting out the middle chunk, splicing the wires of the two ends back together, and reinforcing the connection with hot glue/epoxy putty/sugru. Possibly no soldering necessary.
Edit: The nice thing about it in your case is you already have a Jabra Play.