I have the following sentences.

Decomposition of data into simple blocks are presented by Lin (2013).

Lin (2013) illustrates that the data gaps can be manipulated with the symmetric constraints.

Can I combine them as follows?

Decomposition of data into simple blocks are presented by Lin (2013) and illustrates that the data gaps can be manipulated with the symmetric constraints.

I am not sure this is grammatically wrong, as the subject of second sentence is Lin, not the decomposition. (I think subject of the first sentence is decomposition of data.)

So, how should I correct this? I feel it should be "and he illustrates [that the …]."