Liquid nitrogen for age spots
Liquid nitrogen is an option which works by damaging the top layer of skin. This causes the skin to peel off and will require a minimum of 1-2 weeks to heal and time for the color to resolve. If the color persists a laser which targets dark color such as a q switched yag or picosecond laser can remove the residual spots.
The liquid nitrogen caused blistering, which is it why it is used sometimes to treat age spots. Depending on the size and thickness of your spots, other options may have been used too. In general, thick age spots (seborrheic keratoses) can also be electrodessicated ("burned") and scraped off, called curettage. I find this heals well. Thinner lesions may be amenable to laser treatment, such as with the Yag laser. Apply Vaseline or Aquaphor to lesions and keep them out of the sun to promote healing. Be well.