Battery runtime is really a watt-hour problem.
A 100Ah 12V battery and a 100Ah 24V battery do not store the same energy. Multiply volts by amp-hours to compare them fairly. Then reduce that number by the usable percentage for the battery type.
Why lead-acid and lithium results differ
Lead-acid batteries are commonly planned around about half of their rated capacity because deep discharges shorten life and voltage sags under load. LiFePO4 batteries can usually deliver more usable energy, but the battery management system, temperature limits and charger settings still matter.
Why AC appliances drain batteries fast
A microwave, coffee maker, electric heater or hair dryer may only run briefly, but it pulls a large amount of power while it is on. The inverter also loses energy converting battery power to 120V AC power.
When solar changes the answer
Solar does not make a battery larger; it replaces energy during the day. If daily charging is greater than daily use, the setup may keep up in good sun. If charging is less than use, the battery still trends downward.