Voyager 1 and Voyager 2 were launched from earth in 1977.
The information I have been able to find lists their currents speeds as 38,000 mph for Voyager 1 and 34,500 mph for Voyager 2. They are currently less than one light-day away from earth.
Voyager 1 will be one light year away in 17,600 years.
Voyager 2 will be one light year away in 19,400 years.
(The nearest star from Earth is about 4 light years away. I find these figures a little helpful in trying to grasp just how huge the galaxy and universe are.)
The projections I can find expect they will not directly encounter any stars and the probability of any sort of collision with anything is very very low.
(These findings are from internet searches, I've have no direct knowledge to judge their accuracy.)
Right now I'm finding the world situation so very disturbing. I don't know how bad it will get, will civilization survive, will Western civilization with its scientific knowledge survive, will the world descend into a dark age, will humans actually kill themselves off?
So for me there's something immensely comforting knowing that these bits of human ingenuity with their golden records of data about us, artifacts that were created and launched during my lifetime, will most probably continue moving through the galaxy for millions and even billions of years. They will probably never be seen again by intelligent life but they exist, no matter what happens to earth or humans, those little bits of us are out there flying through the void.