Can I cut off the 2 fuse from the wire & connect a new one with normal soldering?
Those are thermal fuses if you mechanically twist the wire together prior to soldering you will probably be fine 142c is about 287f that is 1/2 the melting point of most solders but I would twist together or western Union splice prior to soldering and the new fuses should blow long before the solder melts. I have fixed coffee pots that have similar fuses same method / 60/40 Rosen core solder (its outside the cooking area if concerned about lead, or use lead free solder). I put heat sinks on the wires and a quick solder did it on more than 1 coffee pot.