The Android framework is part of the operating system. The Android operating system has a lot of components. Here's a diagram from the Android developer documentation.
- The system apps are Android applications that provide the tools everyone uses on a smartphone: 'phone dialler, e-mail, calendar, camera, and so on.
- Those do most of their work by using functions from the Java API framework.
- The next layer of the stack is native-code libraries which either do computational heavy lifting for the Java framework, or actually run the Java (or Kotlin) code that most apps are written in.
The Hardware Abstraction Layer provides standardised interfaces to hardware. For example the Camera app will check what cameras exist via the Camera HAL and send commands to it to actually take pictures.
The Linux kernel manages the computer aspects of the device, starts and stops apps, and so on. Power management is mostly done here, and is absolutely vital to give devices reasonable battery life. The kernel also contains the device drivers, which are quite specific to the hardware of the 'phone or tablet it's running on.
All of these parts of Android are built and put together by the device manufacturer, in the "ROM". That certainly contains the Android Framework, which is the part of the operating system that most apps interact with, but it also contains all the other software in the stack.