How many plots can I plot together using hold on ?

I am trying to plot 80 data columns together, is there a maximum limit to how many can be plotted in single figure?

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The image below shows 1000 lines ('data columns') each of which have 3000 random data points and this plot took less than a few seconds to generate the data and to plot. I don't know how memory might limit your plots and I don't know how long each of your columns are but 80 objects on a single axis shouldn't be anywhere near problematic.

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