multiple x__search

I'm using __search to boolean search for a list of words within two
separate lists (requiredTags, preferredTags). Line 10 is the one I
have questions about. I want to see if the list of words (requTags)
is found among requiredTags or preferredTags.

requTags=""
prefeTags=""
for i in reqTags:
if(i!=""):
requTags+="+"+i+" "
for i in prefTags:
if(i!=""):
prefeTags+=i+" "
if(requTags!=""):
query=query &( Q(requiredTags__search +
preferredTags__search = requTags))

if(prefeTags!=""):
query=query &( Q(requiredTags__search = prefeTags) |
Q(preferredTags__search = prefeTags))

For instance:
requTags might be: +beans +rice +cheese.
requiredTags might be: beans,rice,tortilla
preferredTags might be: cheese

I didn't see any way to combine requiredTags and preferredTags in the
documentation. Any help would be appreciated. Note: I'm a complete
noob.

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