Can we use "Since..., thus.... as a grammatically valid sentence?

I am wondering if below sentence (and in general, all similar sentences) is grammatically correct and semantically meaningful:

  • Since I have graduated from school, thus I should find a job.

The sentence "Since I have graduated from school, thus I should find a job", sounded a bit odd to my ears. I´d say "Since I have graduated from school I should find a job" would sound better. Though in my case I´d say: I should find a job, as I have already graduated from school". Have a nice one!