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Can I say,

(a) My sister likes knitting. She is doing / making / ... (got any other suitables words?) cross-stitch when she is free.

(b) My sister likes sewing. She is doing a / doing cross-stitch now.
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Hi Vincent.

Knitting and cross-stitch are different types of crafts.

(a) My sister likes knitting. okay

She does cross-stitch when she is free. - okay with "does." Or "She works on her cross-stitch project when she is free. (Don't link it to the knitting sentence because they are different things.)

(b) My sister likes sewing. She is doing a / doing cross-stitch now. Okay - I guess "cross stitch" is a type of sewing.
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Hello VT,

With cross-stitch, you embroider cloth that has already been marked with a pattern or the outline of a picture. You use small fine needles like this:



With knitting, you create a garment or toy out of wool, with larger, blunter needles, like this:



Best wishes,

MrP
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Comments  
What are difference between knitting and cross-stitch?
 MrPedantic's reply was promoted to an answer.
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Both are kinds of needlework. Here are some things you can say:

My sister likes many kinds of needlework -- knitting is her favorite, but she also does cross-stitch and embroidery.

She knits all the time.

She is always working on a project.

She likes to do crafts -- needlework, origami and jewelry-making are some of her hobbies.