Query a AND b

Hi everyone,

My goal is to make a search engine for my data that look like "ta AND tb OR (tc AND td)"

I'm focusing on the part "ta AND tb".

{
      "id": 1,
      "keywords": ["java", "node", "PHP"]
    },
    {
      "id": 2,
      "keywords": ["javascript", "node", "PHP"]
    },
    {
      "id": 3,
      "keywords": ["java", "node.js", "PHP"]
    },
    {
      "id": 4,
      "keywords": ["java/j2ee", "node", "PHP"]
    },
    {
      "id": 5,
      "keywords": ["java node", "spring", "PHP"]
    }

With the query "java AND node". I'd like to have the 1, 3, 5, 4 then 2.

I try with

     {
      "query": {
        "bool": {
          "must": [
            {
              "multi_match": {
                "query": "java",
                "fields": [
                  "keywords^5",
                  "keywords.ngram"
                ]
              },
              "multi_match": {
                "query": "node",
                "fields": [
                  "keywords^5",
                  "keywords.ngram"
                ]
              }
            }
          ]
        }
      }
    }

and with

    {
      "query": {
        "bool": {
          "must": [
            {
              "match_phrase": {
                "keywords": "java"
              }
            },
            {
              "match_phrase": {
                "keywords": "node"
              }
            }
          ]
        }
      }
    }

I use a tokenizer with ngram (min: 1, max 40, token_chars: [letter, digit]

How could I perform my request as I expect? Do you any documentation I could use and tips?

Thanks for reading.

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