I'm looking for a low growing groundcover that spreads quickly but is not
invasive. I want it to spread quickly so I don't have to buy too many
plants. The plan is for the ground cover to replace (by shading them
out)native grasses and weeds in an area planted with immature evergreen
trees and shrubs.

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Travis in Shoreline (just North of Seattle) Washington
USDA Zone 8b
Sunset Zone 5