I'm trying to set the search period such that "earliest" is a specific day, and "latest" is 7 days after that. For this example, I chose "earliest" to be 159595200, which is Jul 29, and I would like the search period to be 7/29/20 12AM to 8/5/20 12AM.
earliest and latest are keywords only within the search command (which is implied before the first |). In other contexts, it's just an ordinary field. That's why they have no effect on the time being searched.