Lie vs. Lay

I was called upon recently to help settle a grammar dispute regarding "lie" and "lay." It's fairly simple as long as you remember the present, past, and participial forms of the verbs are as follows:

• "to recline"--lie, lay, lain
• "to put or place"--lay, laid, laid
• there is also "to tell a falsehood"--lie, lied, lied (but I don't find this one confusing at all)
  

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