A Birmingham construction company is building a new apartment complex in Kentucky. Doster Construction Company has begun work on a new multifamily project with developer Continental Properties, Springs at Hamburg in Lexington. The 360,364-square-foot development consists of 312 units in 14 buildings. Work on the new complex is expected to be complete in 2019. Kahler Slater Experience Design is the architect of record. Doster is also working on the Springs at Sandstone Ranch in Longmont,…