grammaticality - Can a sentence have clauses in two different tenses?

I have the following idea, The first part is written in a present form as it is more general. As I explained what I did in the second part, it is written in past tense. here is my example.

1. The proposed graph analysis method is based on a correct segmentation of point data.


2. The work in this study mainly focused on the modeling process.

And I join them using and as follows.

The proposed graph analysis method is based on a correct segmentation of point data and the work mainly focused on the modeling process.

Now, I am doubted whether we can keep two tenses within a one single sentence. Any idea please.