Draw with articulated flatline textile process (3-3-3)
I believe the answer is:
tie-and-dye
'textile process' is the definition.
'draw with articulated flatline' is the wordplay.
'draw' becomes 'tie' ('tie' can be a synonym of 'draw').
'with' becomes 'and' (I've seen this before).
'articulated' shows a homophone (sound like).
'flatline' becomes 'die'.
'die' is a homophone of 'dye'.
'tie'+'and'+'dye'='TIE-AND-DYE'
(Other definitions for tie-and-dye that I've seen before include "Method of colouring fabrics" , "Method of patterning fabrics" .)