How to copy lines after and before certain words?

Question

cmd/bat

There is a text file list_all.txt with approximately the following content:

Список хим. товаров:
Крем
Шампунь
Мыло
Лак для волос
Крем
....
еще много строк
....

Список прод. товаров:
....
....

It is necessary to copy all the lines after "Chemicals list:" and before "Products list:" into the file list_him.txt, without the phrases "Chemicals list:" , "Products list:".
To make list_him.txt look like this:

Крем
Шампунь
Мыло
Лак для волос
Крем
....
еще много строк
....

I found something similar on this BAT site. How to copy a part of a file starting from a certain line? :

@echo off
set "file=list_all.txt"
set "search=Список хим. товаров"
set "header_line="
for /f "tokens=1  delims=[]" %%a in ('find /i /n "%search%" "%file%" ') do set "header_line=%%a"
if defined header_line (
  more +%header_line% "%file%"
) >>list_him.txt
pause

But it copies everything after the desired phrase, how can I make it copy only after, and only before?
Thanks in advance.