A Middlesex County library will be closing for at least two weeks after officials found asbestos in part of the decades-old building, the library director said. The Edison Public Library at 340 Plainfield Avenue will be closed for remediation work, which is expected to start Aug. 19, said library director Allan Kleiman. In May, renovation work began on the library’s upper level, MyCentralJersey.com reported. Asbestos was discovered when officials tested tiles that were under the carpeting and had cracked, Kleiman told NJ Advance Media. It is unclear when the asbestos was discovered. Kleiman di…