I haven't discussed it lately but over the years I have purchased many used medical LifePo4 batteries for pennies on the dollar. Most are 50A rated but when purchased had about 80% (or 40ah) capacity. From my experience and testing, the batteries have maintained ~80% for quite a few years now and should last many years more before going down to ~70% and reports are that they could last ~20 years or more before they hit 50%.
I also purchased damaged LifePo4 batteries for even less and what I found is that most of them were damaged due to having too high of a current draw which damaged the internal BMS boards (often just an internal fuse). So I highly recommend not using too large of an inverter on a single 100ah LifePo4. If your inverter is rated for more than 750~1000 watts, I would consider using 2x100ah Lifepo4's even if you never intend to use more than 750 watts, due to the initial surge when turning on (or connecting) a larger inverter.
Also a thought to add and in particular when using a single LifePo4, because the initial surge that occurs when connecting an inverter can be very high (in particular large inverters but say 800w+), you can (should) use a resistor in series with the + cable for about 5~10 seconds to the inverter and then connect the cables directly to the battery. This will keep the surge amperage low and protect the BMS. (you could also use an incandescent 12v light bulb). Once connected, you shouldn't have any more initial surge current concerns until the next time you disconnect/reconnect. This may not be needed, but I still suggest to do this and in particular with the lower cost LifePo4 batteries available today which likely will not have the strongest BMS boards inside.
One like this would be perfect. ~CA
https://www.amazon.com/LM-YN-Wirewo...9055721&sprefix=5+ohm+resistor,aps,321&sr=8-6