I'm trying to create a graph which shows two lines from two different data sources – which are time-series. My problem is that one source has data for every day, and the other one has sporadic data (and starts later). Like the following image:

I use the following code:
set autoscale xfixmax
set autoscale xfixmin
set xdata time
set timefmt "%s"
set format x "%m/%y"
set y2tics
set terminal png size 1000,500
set datafile sep ','
plot 'a.csv' using 1:2 with line lw 1.2 title 'a' axes x1y1, \
'b.csv' using 2:5 with steps lw 2 title 'b' axes x1y2
I'd like just to plot the period where they both have data. Is that possible to do with GNUPlot?
Thanks :)