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I'm not about to buy the crap about them 'having one foot in the grave' because I have seen people live for years long after the doctors thought they'd be dead. And how much would any of us give to have a few hours, even a few minutes talking with a beloved departed relative?
A family member works with a local hospice. To enter hospice care under Medicare a patient must have a Certification of Terminal Illness. This document means that in the best professional judgment of the patient's doctor the patient has 6 months or less to live. Hospices monitor and review patients' condition. It is not rare for a patient to suddenly improve so that they are released from hospice care. Some patients hang on for several years even though the good-faith judgment of their doctor and hospice caregivers is that they have 6 months to live. Such folks are not common, but they are not rare, either.
My Dad entered a facility's "independent living" care (basically a studio apartment with meds delivered and a choice between cooking for oneself or community meals) when my youngest was 10. He progressed to the facility's ALF and then its SNF, living a bit over 6 more years. Yeah, those 6 years were precious to all of us. My MIL lived with us her last 4 1/2 years, also a precious time.