"you can deduce" is a perfectly correct and usable phrase in written English.
You can use it when trying to express the act of drawing a conclusion from evidence. For example, "By analyzing the data, you can deduce that the population increased significantly over the past decade."
This you can deduce from any stroll around New York.
Sometimes when you look at the clusters of movies, you can deduce the connections.
There are some things you can deduce about Factory Floor from their name, and some you can't.
"The government has enabled this to happen, clearly in the light of situation where it was previously largely supported, so I think you can deduce something from that".
"You can deduce that there is a special moral obligation in this case to offer Peruvian authorities an extraordinary effort that responds to that responsibility".
The ball goes up in the air any distance at all and the only way you can deduce what has become of it is by the reaction of the crowd.
Robin Dies at the End of the Show is held together by a loose plot (you can probably deduce what it entails by the title) but largely delights in mocking mundane middle-class misery and the righteousness of dinner-party dietary requirements – "Hardcore Quornography" and Schloer in particular.
That said, based on the fact that you sent in this submission, I can deduce that you are dealing with regret -- either the reality of it now, or the possibility of it later.
You'd be surprised what enterprising journalists, investors or competitors can deduce from your photos or status updates.
I think we can deduce from that that I had massive public support".
We can deduce the circular nature of Stonehenge from solid evidence that is visible to everyone.
