the slow demolition crew that turns mountains into beaches without ever sending an invoice
means The gradual breaking down of rocks, soil, and minerals through contact with the atmosphere, water, and living things — or, more loosely, the act of enduring something rough and coming out the other side.
from From "weather," rooted in Old English "weder," meaning air, sky, or storm — a cousin of Dutch "weder" and German "Wetter," and likely tied to an ancient root for "wind" or "blowing." The verb sense of "to weather" something — to expose it to the elements, then later to survive them — grew naturally from the noun, since whatever stood out in the open got worn down or toughened up. The geological meaning is a 19th-century specialization, when scientists borrowed the everyday word for the patient work of rain, frost, and wind on stone.