Deputies arrived to the married couple's home in the 12500 block of Pavilion Court at about 12:37 p.m.
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Pinkins said deputies found the couple in the same room with apparent gunshot wounds.
The man is 65 years old and the woman is 58 years old, according to Pinkins.
Deputies said their investigation leads them to believe this incident is a murder-suicide after they found no indication of forced entry or missing belongings.
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Sheriff Ed Gonzalez said the investigation is ongoing. Anyone with information is asked to contact the sheriff's office at 713-274-9100.