To get a head start, prepare the recipe through step 2 up to two days in advance. Shortly before serving, place asparagus on pan with roasted asparagus, and proceed with step 3.
Place a large baking sheet in oven. Preheat oven to 450°. (Leave baking pan in oven as it heats.)
Cut off top third of each artichoke. Trim stem to within 1 inch of base; peel stem. Remove bottom leaves and tough outer leaves, leaving tender middle and bottom. Cut each artichoke in half lengthwise. Place artichokes, lemon slices, and 1 tablespoon oil in a bowl; toss to coat. Arrange mixture in a single layer on hot baking sheet. Roast at 450° for 15 minutes or until almost done and beginning to brown, stirring well after 10 minutes.
Toss asparagus with remaining 1 1/2 teaspoons oil. Stir asparagus into artichoke mixture. Roast at 450° for 10 minutes or until tender, stirring after 5 minutes.
Place vegetable mixture in a large bowl. Add butter and next 4 ingredients (through pepper); toss gently to combine. Sprinkle evenly with pine nuts.