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Continuity mistake: Beth arrives at Rip's house and drinks a beer, with the big logo on the can facing the camera. An instant cut later, the can has turned around.
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An Acceptable Surrender - S3-E3
Continuity mistake: When the governor arrives at the rodeo and sits next to John, he holds a beer with his right hand. A shot later, it's in his left hand.
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The Unravelling: Part 2 - S1-E9
Continuity mistake: When Beth and John are talking right at the end of the episode, her messed-up hair suddenly appears brushed between shots.
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Factual error: Jamie is looking at his birth father's Montana State Prison inmate identification sheet. On the sheet, it lists his Social Security Number (SSN) as 4142-77-89332. However, in the United States, an SSN is a nine-digit number. (00:25:07)
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Factual error: The Governor arrives at the ranch in her official vehicle. However, the vehicle has US Government license plates. A State Governor is not a US Government representative, so the vehicle would have State plates. (00:16:41)