In this question by Jay, one of the sub parts of the total question has the following reaction identified as $\ce{E1CB}$ pathway: $$\ce{Ph-CH2-CH2Br} \text{ on treatment with } \ce{C2H5OD/C2H5O-} \\ \text{gives } \ce{Ph-CD=CH2} \text{ as the major product.} $$
Now, I know $\ce{E1CB}$ mechanism to be an elimination mechanism which involves strong base and weak LG which I found well illustrated in the following example:
From Wikipedia
In extrapolating the above scheme into the question's case, I can't understand the reaction at all. Firstly $\ce{Br}$ is a good leaving group, if $\ce{E_1CB}$ is to happen, I think it must be taken that $\ce{Ph}$ is the leaving group. Secondly, let's leave the leaving group part and focus on the hydrogens, how did the hydrogen turn into a deuterium in the final product?
I have seen the user TRC's answer where they simply claim it is because of the strong base, I feel the logic is flawed, since it could have been $\ce{E_2}$ as well in that case due to the bromine existing. So, I don't find the argument fully convincing.