Option 1: Hepatitis A is not transmitted through the use of infected injection needles or unprotected sex. It is primarily spread through contaminated food or water.

Option 2: Hepatitis B is indeed transmitted through infected injection needles and unprotected sex. The virus can be found in blood and bodily fluids, and direct contact with these fluids can result in transmission of the virus.

Option 3: Hepatitis C is not transmitted through unprotected sex. It is primarily transmitted through exposure to infected blood, such as through needle sharing or receiving blood transfusions with infected blood.

Option 4: This option is incorrect as it includes Hepatitis A, which is not transmitted through infected injection needles or unprotected sex.

Therefore, the correct answer is option 2, which states that Hepatitis B and Hepatitis C are transmitted through the use of infected injection needles or unprotected sex.