Half life and overdose levels aren’t quite related. If you’re given a single, safe dose of the drug at a time (letting the drug completely clear from your body between doses), you’ll never overdose on it, no matter how long the half-life is.
Similarly, the half-life is irrelevant to how much of the drug is needed for an overdose, although a short half-life would also shorten the duration of the overdose.
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