Two theft by check misdemeanors deferred judification probation completed back in 2005
You will not be able to have these cases expunged since you pleaded guilty and were placed on deferred adjudication for them (unless they were actually class C misdemeanor "issuance of bad check" cases, which I'm assuming they were not, given your description of them as theft by check).
What you may be able to do is to file a Petition for Nondisclosure and have them effectively sealed from private entities (but not law enforcement agencies and some other governmental agencies; they will still have access to the records relating to the two cases). I'd advise you to consult a local attorney though, who will know exactly which agencies need to be listed in a petition and a proposed order of nondisclosure. You can certainly attempt it yourself, but there's more security in knowing that an experienced, local defense attorney who handles these matters routinely will be drafting the legal documents and representing you in front of the court.
While obtaining non-disclosure is not as beneficial as an order of expunction, it will help you in applying for jobs in the private sector. Orders of Non-disclosure permit you to deny the existence of the offense on job applications. But as previously pointed out there are exceptions. Government entities, jobs/services dealing with kids, elderly and security--are a few of the biggest ones-- and any job that requires a state licensing (plumber, electrician, nurse, lawyer, doctor, etc.) will be affected because the State will be able to see it and may not issue or may revoke a state issued license to practice that profession. On the upside, you may be CEO of Walmart and Walmart might not know about it because Walmart presumably would not trigger any of the exceptions that permit the State to disclose your criminal record (assuming you applied and were granted an Order of Non-Disclosure. You should retain an attorney for this to make sure it is done correctly.
Unfortunately you are not able to have these cases expunged. This is because you had to do something in order for the cases to be dismissed, assuming you successfully completed your probation.
What you may qualify for is an Order of Non-Disclosure which is a means to have the matters "sealed" for certain purposes, such as an potential employer's criminal background check. The matters will still be available for viewing and use by law enforcement. In order to see if you qualify you should talk to an attorney.
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