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Step-by-step build — 5 steps. Also available as a print sheet.
Measure the ends of your 2x6 legs to confirm they're really 1-1/2" x 5-1/2" and adjust if needed. Lay out and cut the leg notches into the ends of the 1x12 top boards so the legs will pass through flush. Cut tight to the actual leg stock — a loose notch means gaps to fill.
Measure between the notches and cut two 1x3s to fit, then build a frame with the 1x3s at 43". Nail the outer frame corners together with glue and 1-1/4" brad nails, then measure the inside and cut the middle pieces to fit.
Apply glue between the 1x12s and lay them out flat and level. Apply glue to the back of the 1x3 frame and nail it to the underside of the top boards with 1-1/4" nails. The frame stiffens the glued-up top so it stays flat.
Repeat for the bottom shelf, but use 1x2s for the frame instead of 1x3s. Tip: sand, stain, or paint both shelves and the four legs now, before assembly — finishing flat parts is far easier than finishing an assembled table.
With the top shelf face-down on a level surface, set the legs into the notches and attach with 2" star-bit screws, two per leg, driven at a slight outward angle for stability. Then mark the legs 2-1/2" down and set the bottom shelf in place (turning the assembly on its side helps), two 2" screws per leg at a slight outward angle. Fill, sand, and finish.