"Mine pig" is an outdated term used to describe a pig that belongs to someone specifically or has been kept or raised by a particular person. There are several other synonyms that can be used to replace this phrase, such as "my pig," "my swine," "my hog," or simply "my animal." Each of these phrases would effectively communicate the idea of ownership over a pig or other domesticated animal. Additionally, terms like "livestock" or "farm animal" could also be used to refer to a pig in a more general sense, without specifying ownership. Regardless of the phrasing used, it's important to consider the context in which it's being used to avoid unintentionally offensive or outdated language.