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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def __validate_logical(self, operator, definitions, field, value):
 """ Validates value against all definitions and logs errors according to the operator. """

        valid_counter = 0
        _errors = errors.ErrorList()

        for i, definition in enumerate(definitions):
            schema = {field: definition.copy()}
            for rule in ('allow_unknown', 'type'):
                if rule not in schema[field] and rule in self.schema[field]:
                    schema[field][rule] = self.schema[field][rule]
            if 'allow_unknown' not in schema[field]:
                schema[field]['allow_unknown'] = self.allow_unknown

            validator = self._get_child_validator(
                schema_crumb=(field, operator, i),
                schema=schema, allow_unknown=True)
            if validator(self.document, update=self.update, normalize=False):
                valid_counter += 1
            else:
                self._drop_nodes_from_errorpaths(validator._errors, [], [3])
                _errors.extend(validator._errors)

        return valid_counter, _errors