It's the same when people move next to the airport and then complain about noise.
In general this can be solved with an extension of property rights, the industrial zone/airport/music venue etc can own the rights to "pollute" the neighboring areas, much like buying air rights in a city. Then it's clear when you purchase / rent / what level of noise / pollution you can expect.
This allows market forces to work, if after a certain time the city is bigger and that land is more valuable for quality housing then they can buy the rights from the polluter and shut it down.
In general this can be solved with an extension of property rights, the industrial zone/airport/music venue etc can own the rights to "pollute" the neighboring areas, much like buying air rights in a city. Then it's clear when you purchase / rent / what level of noise / pollution you can expect.
This allows market forces to work, if after a certain time the city is bigger and that land is more valuable for quality housing then they can buy the rights from the polluter and shut it down.