Increasing in the middle of a purl row

To increase in a purl stitch in the middle of a row, insert needle in stitch as normal:

increasing stitch in knitting
© F H Powell 2018

Take the yarn around the needle and work the purl stitch, DO NOT slide the old stitch off the needle:
increasing stitch in kitting
© F H Powell 2018

Insert the working needle into the back of the original stitch and bring needle to front of work as shown below:
working an increase in knitting
© F H Powell 2018

Take yarn round needle and complete the second purl stitch:
working an increase in knitting
© F H Powell 2018

Slide the old stitch off the needle to complete the increase:
working an increase in knitting
© F H Powell 2018