To understand why you don't need to carry the **L plate** on your motorcycle after obtaining the A2 license, it's important to know what it means to be a **novice driver**. A novice driver is someone who has obtained their driving license for the first time and has less than one year of experience with that license. During this first year, it is mandatory to carry a green plate with a **white L** on the vehicle to indicate to other drivers that you are a novice.

However, if you already had the **B license** (for cars) for more than a year, you are no longer considered a novice driver. This means that you don't need to carry the L plate on your motorcycle, even if you have just obtained a new license, such as the A2. The L plate is only necessary if your first driving license is less than a year old.

Therefore, in your case, as you already had the B license for two years, you don't need to place the L plate on your motorcycle.