If living people are put in family search, when they turn 110 or 115, do they become a public record?
From a FamilySearch help article:
How does Family Tree determine whether a person is living or deceased?
Article Id: 1523
April 20, 2020
FamilySearch considers a person to still be living if both of these situations apply:
FamilySearch does not automatically mark an individual as deceased when the first rule no longer applies. Before adding Deceased to a record, see if you can verify the person's death and if you can provide a source.
(By "put into FamilySearch" - I assume you mean -- add their record into Family Tree - initially as a living person)
if YOU put them in as living - they reside in YOUR "Private space"
Such a record in your private space - will remain private until YOU Mark the person as deceased.
(no matter how many years gave gone by)
The same is true of anyone else who also has the person in their private space.
The first person who marks the person as deceased - will be the point that a Public record of the person is available. BUT that still has no impact on YOUR version of the record until you mark YOUR record as deceased (and merge it with any other public deceased records as necessary)
In short there is no automated conversion. People go into the public record of Family Tree when users MARK them as deceased.