When you mean people cut them out do you mean that they remove it and the car begins to work again? or do you mean it gets upgraded to something else. Also an in- line fuse? How do I go about doing that? and why?
Between the alternator and the battery there is a wire with a fusable link in it. It is called the main accessory suply line. If you buy a new fusable link you have to splice it into the wire. If it goes out again you have to splice one in again. If you splice in an in-line fuse then you would only have to replace the fuse if anything goes wrong in the future. An in-line fuse is just a fues holder with a length of wire on each side.
Ok. What causes it to go out? A fusible link essentially is a wire that is spliced into the main accessory supply line? What is the purpose of the fusible link?
My understanding of a fusable link is that they are there to keep your wiring harness from going into 'meltdown' and causing a fire. Not so much intended to be a fuse as a safety measure. However, they function exactly like a large fuse. If you look under the hood of a modern vehicle, they have the relatively giant 'maxi-fuses', those perform the function on today's vehicles. The old school method was to just cut them out and go about life. If you want to reinstall the redundant safety measure, you can get a maxi-fuse inline holder and replace it that way. Or you can go to a junkyard with an ohm meter and get more to splice in. To find which is bad, just check continuity on each side of the link. It's just like any fuse, it has power to both sides when good, one side when bad.
When I meant "cut them out" I meant physically cut the fusible link part out, and then reconnect the wires that were on each side of it. I'd just put an inline fuse there, go ahead and do both now to save trouble later go to partsamerica.com and type in part number HHM and it will show you what a inline fuse looks like.. The thing thats disconnected from the picture is a cover for the fuse itself.