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The reason there are no protests is because the waste, be it chemical or nuclear, are generally safe there for millions of years.
Even if there are leaks (as in Asse), they happen at depths of hundreds of meters underground (950 m in case of Asse), the amount of leaks is tiny and it never reaches surface.
And again, this applies equally to chemical and nuclear waste, with the exception that the latter loses toxicity over time.