Grilled Apple and Cabbage Sauerkraut

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1 small head green cabbage, shredded

1 1/2 cups apple cider vinegar 

3/4 cup granulated sugar 

2 tablespoons pickling spice, wrapped in a cheesecloth pouch

Kosher salt 

2 Granny Smith apples 

1 tablespoon fresh lemon juice 

1 tablespoon extra-virgin olive oil 

Freshly ground black pepper