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The Mamma Mia star donned a navy baseball cap and brown flats, while a white face mask dangled from one ear as she left the store.
Also keeping things low-key was Michael, who teamed a black cap and bomber jacket with jeans.
Out and about: The couple seemed smitten as they were seen heading out to buy groceries in Los Angeles on Easter Sunday
Low-key look: Keeping things casual for the outing, Lily donned a patchwork denim jacket that she layered over a taupe top and white mom jeans
Lily and Michael have gone from strength to strength since being linked in February.