Be really careful whether you actually have Lucite (polyacrylic) or Lexan (polycarbonate). The oven process as described works fine for polyacrylic and only needs about 150F.
Lexan/polycarbonate on the other hand softens way above the boiling point of water, so if your Lexan piece happens to contain a little moisture-as most does, doing this will generate steam bubbles inside the plastic and your part will only be good for an opaque shower door.
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