I don't think that the words "depression" and "cured" can exist within the same sentence. Possibly periods of "relief" but not cured.

I say this from life-long experience with depression, dealing with desperate searches for finding even brief relief, not getting anything but horrible reactions to various medications, and having gone the gamut of therapists, including two nurse psychiatrists, a psychiatrist, and a psychologist. Life also has showered grief, chronic unrelenting physical pain, deep disappointments including estrangement with our oldest child, experiences that shatter one's perceived reality that then leaves you groping, trying to resurface for air, and other things that can undo whatever progress has been made toward reaching emotional and psychological balance. Life is funny that way..... But if you don't push to resurface, the alternative is not appealing.

I'll offer you these sites from which you can glean information:
• Mayoclinic.org "Treatment-resistant depression". Thorough, well organized.

• Reallifecounseling.us "Is Depression Curable? Here’s What You Need To Know"
This info was composed by a counseling organization, but I found that the article addresses what you ask.
Explains depression, depression relapses, and addresses question “If relapse rates are so high, is depression curable at all?" and “How to Prevent a Depression Relapse.”
The following are excerpted from the article, and specifically addresses your question:
"Experts answer the question of ‘is depression curable’ by recommending that patients stay with their treatment regimen for a minimum of nine months and experience at least two months of general well-being before stopping their treatment completely. For sufferers of chronic depression, the timeline is even longer. Experts recommend that people who experience depression for two years or more stay in therapy for a minimum of two years before considering themselves cure...Keeping depression away comes down to maintenance. Individuals who are susceptible to depression should plan to manage their triggers for the rest of their lives to prevent a relapse. Staying involved in productive activities, staying close with friends and family, and regularly talking with your doctor are all ways to help you keep depression at bay so that you remain healthier in the long run."

• Nimh.nih.gov “Depression” gives excellent, well organized info on the topic, including various types of depression, as well as signs and symptoms. Also covers “How is depression diagnosed? “Does depression look the same in everyone?” as well as treatment/medications. Explains treatment-resistant depression and options for treatment. Covers psychotherapy, Brain Stimulation Therapy, advice on finding help, and most importantly taking care of oneself as well as a depressed loved one. Links to other related topics.

I've always found NIH to be one that I can turn to, along with Mayo Clinic, Harvard Medical, John's Hopkins, and a couple of other reputable and reliable medical institutions. Depending on my search, I've also gotten substantial info from centers in the UK, Australia, and Sweden. There are many more sources online that you can carefully choose reliable ones, and obtain information that may help you with your question. I recommend what I do: I keep a journal (within a word program) into which I include info/references/etc. such as what I offered above to you. Has been great when I need to offer info or include it within something that I'm writing. It's also invaluable when I want to substantiate a point with a doubting physician.😊

I hope that is a good starting point in your quest.

Wishing you the best🦋🙏🏽