I can't believe I'm making an argument against a slop page but:
The issue is these people think of "growth" only as quantitative increase in finished good output and thus assume that this requires increasing the quantity of capital goods in the process of production, which will eventually be entirely depreciated (and thus be "unsustainable")
In a sense naïvely funneling more resources en masse is a type of growth (the Soviet Union is the best example of exploiting such) but “economic growth” can also be a result of reducing capital depreciation (that is to say, creating goods with a longer life-cycle and are generally more durable) cum increasing productivity, so we end up using less resources to produce more final goods and with less waste/depreciation. It might even be that we find a use for capital that has outlived its normal lifespan; people tend to refer to this with the term "recycling". (And this is not mentioning renewable resources)
All of these actions are consuming capital goods at a lower and less wasteful rate, and they are done with an increase in knowledge and technique, not a mere increase in brute resource allocation.