What is the difference between between to draw up and to write in terms of meaning?

I saw it this usage in a sentence like "...draw up a constitution..." and I thought can I say also

" to draw up a company costumer policy " ?

When I google it , google suggests like " draw up a contract/ will /business plan/action plan " etc.

But interestingly most of the results come up with " write a business plan/company policy" etc.

Can to draw up suggest more like writing a intricate thing from the scratch ?

and can a robber plan/plot be drawn up?

What is the difference between between to draw up and to write in terms of meaning?

I saw it this usage in a sentence like "...draw up a constitution..." and I thought can I say also

" to draw up a company costumer policy " ?

When I google it , google suggests like "how to draw up a contract/ will /business plan/action plan " etc.

But interestingly most of the results come up with " how to write a business plan/company policy" etc.

Can to draw up suggest more like writing a intricate thing from the scratch ?

and can a robber plan/plot be drawn up?

What is the difference between between to draw up and to write in terms of meaning?

I saw it this usage in a sentence like "...draw up a constitution..." and I thought can I say also

" to draw up a company costumer policy " ?

When I google it , google suggests like " draw up a contract/ will /business plan/action plan " etc.

But interestingly most of the results come up ? with " write a business plan/company policy" etc.

Can to draw up suggest more like writing a intricate thing from the scratch ?

and can a robber plan/plot be drawn up?

What is the difference between between to draw up and to write in terms of meaning?

I saw it this usage in a sentence like "...draw up a constitution..." and I thought can I say also

" to draw up a company costumer policy " ?

When I google it , google suggests like " draw up a contract/ will /business plan/action plan " etc.

But interestingly most of the results come up with " write a business plan/company policy" etc.

Can to draw up suggest more like writing a intricate thing from the scratch ?

and can a robber plan/plot be drawn up?