[r] How to combine 2 plots (ggplot) into one plot?

By using R, is it possible to place 2 ggplot together (i.e., on the same plot)? I wish to show a trend from 2 different data frames and instead of putting them one next to the other, I'd like to integrate them together in one plot and only to change the color of one of them (the black dot).

To be more specific, I have the following 2 visuals:

ggplot(visual1, aes(ISSUE_DATE,COUNTED)) + geom_point() + geom_smooth(fill="blue", colour="darkblue", size=1)

and

ggplot(visual2, aes(ISSUE_DATE,COUNTED)) + geom_point() + geom_smooth(fill="red", colour="red", size=1)

They look like this (both have black dots and I'll need to change one of them to something different):

and

Just combine them. I think this should work but it's untested:

p <- ggplot(visual1, aes(ISSUE_DATE,COUNTED)) + geom_point() + 
     geom_smooth(fill="blue", colour="darkblue", size=1)

p <- p + geom_point(data=visual2, aes(ISSUE_DATE,COUNTED)) + 
     geom_smooth(data=visual2, fill="red", colour="red", size=1)

print(p)

Dummy data (you should supply this for us)

visual1 = data.frame(ISSUE_DATE=runif(100,2006,2008),COUNTED=runif(100,0,50))
visual2 = data.frame(ISSUE_DATE=runif(100,2006,2008),COUNTED=runif(100,0,50))

combine:

visuals = rbind(visual1,visual2)
visuals$vis=c(rep("visual1",100),rep("visual2",100)) # 100 points of each flavour

Now do:

 ggplot(visuals, aes(ISSUE_DATE,COUNTED,group=vis,col=vis)) + 
   geom_point() + geom_smooth()

and adjust colours etc to taste.