I essentially paint the boundaries of the content I need and it gives me exactly what I need.

However, I feel the need to optimize...
I tested out using "Publish Date Range" and setting it to older than last week. Soon after, I learned that "Last Week" literally means the last week (Monday - Monday) as opposed to the last 7 calendar days. Looking at the other options for filter conditions there are: 24 hours, Today, Yesterday, Last Week, Last Month, Last Year.
I have yet to discover a combination of filter conditions that would allow me to see content published in the last 7 (or 14) days without needing to specifically put in dates and re-creating filters.
Some general questions:
Have any luck in creating a filter that acts similar to a smart filter?
What are some helpful filter combinations you've used when moderating content in a specific rolling date range?
For the team @Insided:
A filter condition akin to "Last 7 Days" would be a helpful addition to get a real-time "pulse" on the content coming in. Thanks!
