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Yes the ALT level represents significant liver damage and the AMY (amylase) represents the pancreatic damage.
These both may be seen withpancreatitis -- which in a 5 year old dog would be a common disease (usually triggered by eating something unusual or fatty).
Other causes on the list for a five year old dog to have these levels woudl include:
Infection (leptospirosis, hepatitis), toxin exposure.
It is important to follow up these levels -- and retest if yoru dog is still ill or recoevered -- then this reappeared.
If recovery occured --- and this is a reoccurance -- then another incidence of eating something unusual may have occured to trigger the pancreatic issue again. Pancreatitis can be in a chronic form and appear like this.
If it has been ongoing and no response to medications, then an infection may be the cause and further testing is necessary to determine if the body is recovering, statying stable, or getting worse....and what mey be the cause.
If you do not want to return to the previous vet, then make a few phone calls to friends, neighbors, local shelter or others to get a recommnedation for soemone you may like better. This is definitely a situation that will need veterinary followup and monitoring if you would like for your dog to have an optimum chance of getting better.
I hope this information helps!
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The above is given for information only. Although I am a licensed veterinarian, I cannot legally prescribe medicines or diagnose your pet's condition without performing a physical exam. If you have concerns about your pet I would highly advise contacting your regular veterinarian