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You have a couple of options...
1.Tile directly over the p-lam (risky).
2.Lay down 1/4" hardie backer and then tile (Only if the deck is sound).
3.Replace the entire deck, apply hardie backer, then tile.
P-lam is usually put over particle board, which has a tendency to fall apart in a kitchen after 25 years or so. Tile is put over plywood/backerboard combination. Check the "fixit for'em" board as the same question has been answered (early sept.)