If you define pverty as earning less than 15 % of the median country wage and then pay 90 % of people 2 dollars a day and 10 % of the people infinity dollars a day you have no poverty by definition. Some variation of that is how every other system of government/economy has beaten poverty. There is no point engaging these people unless you are a psychiatrist trying to help them with their mental illness.
Even easier than that, simply define poverty as a property of capitalism and if anybody says that poverty also exists in your communist society, you throw them into the gulag for spreading capitalist propaganda.