We do pull our weeds and leave them where we pull them. It only takes a day or two in the sun for the weeds to wither away and disappear. We do this before the weeds can make seed heads.
If we are ever late and they are starting to make seeds, we pull the plants out and put them a large heap away from the garden. That heap will subsequently be spread on a garden somewhere after it's had a long chance to compost.
