Maybe once above a certain level it is very hard to slow things down in a short period.
I just saw an interview on CNN with Anthony Fauci who basically said as much. Its easy to contact trace small numbers, its impossible once large numbers are infected, and mitigation is the only strategy at that point. Once numbers are down you then need to do mass testing and lock down the remaining infected. You still need to do mass testing in the meantime though, or you don't know who has it and whether the infection rate is going up, is level, or going down. Not having tests, not having protective equipment, and not imposing social isolation, all contribute to the rising infection rate.
PS
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