id I read that right? Someone on the internet stated a light year is 300,000 kilometers a second. So the signal that started from its location 70 light years away probably not in existance any more.
Every signal ever sent is still in existence - just depends on how far it has fallen into the noise.
Just like this piece of space object will cease to exist once the Sun has exploded and how long will the blast take to reach Mother Earth? Of course I hope I'm not around when it happens. 
If it just suddenly exploded, it's about 8 minutes for the radiation, and much longer for the particles. But as noted, the sun is not going to explode in any normal scenario, it will grow into a red giant (and engulf the earth) then end up as a white dwarf. That will take at least hundreds of thousands of years, if not billion or so, so the light travel time will not be relevant.
Interestingly, the sun used to be less powerful/luminous, maybe 90% of the current brightness at the time of the Cambrian explosion, and maybe 95% when the first dinosaurs evolved. It is still getting brighter.
Brett