@RogerMiller Great additional question! At the moment the only way to filter for saved searches is to put a location, then a start date and an end date and then set the duration filter, in your example for 1 month.
This will show you all available sits that are 1 month plus that start and end somewhere between those dates.
If you are looking at sits that start in August then setting your start date to the 1st of August and the end date later in the year will make sure you catch any that are a month plus long and start in August, you will as you mentioned get other sits that are a month long and then start later in the year, but this is the best way to view all of those month-long sits starting in August.
There is a suggestions list where you can add asking about a feature that just shows all sits with the same start date:
There have been other suggestions here like having a 3-month duration filter etc, so please have a look and add any suggestions to the list.